Hong-Jian Lai

PUBLICATION (Books):

1.       Matrices in Combinatorics and Graph Theory, (with Bolian Liu), Kluwer Academic Publishers, Vol. 3 of Network Theory and Applications, (2000),  (ISBN: 0-7923-6469-4).

2.       Matroid Theory (in Chinese), Chinese Higher Education Press, (2002), (ISBN: 7-04-010563

3.       Probability and Statistics, (with Z. F. Hao et al.), Chinese Higher Education Press, (2008), (ISBN: 978-7-04-023605-7)

Applications of Mathematics:

 1 Energy Management System with Automatic Reconfiguration for Electric Shipboard Power Systems,  (with Shilpa B. Ganesh, Karl Schoder, Amer Al-Hinai, Ali Feliachi), Proceedings, Reconfiguration and Survivability Symposium 2005, Atlantic Beach, FL. Feb 16-18, 2005. 2 Ali Feliachi, Karl Schoder and Shilpa B. Ganesh), IEEE PES General Meeting, June 18-22, 2006, Montral, Canada. 3 Pinak Tulpule, Karl Schoder, Ali Feliachi),  Proceedings of the Electric Ship Technologies Symposium (ESTS) 2007, Arlington, VA, May 21-23, 2007. 4 Age distribution and risk factors for the onset of severe disability among community-dwelling older adults with functional limitations, (with Y. Wu,  H. Huang, B Wu, and S. McCrone), The Journal of Applied Gerontology, 26 (2007) 258-273. 5 Health Behavior and Transition of Physical Disability Among Community Dwelling Older Edults, (Part1, 2, 3, 4)  (with Y. Wu and S. McCrone), Research on Aging, 30 (2008) 572-591. 6 Intelligent Reconfiguration of Smart Distribution Network using Multi-Agent Technology, (Invited Panel Paper), (with Sridhar Chouhan, Hui Wan, Ali Feliachi and M. A. Choudhry), IEEE Power Engineering Society General Meeting, Calgary, Canada, July 2009. 7 Application of Multi-Agents to Fault Detection and Power Distribution Systems Reconfiguration, (with K. Nareshkumar, M. A. Choudhry and A. Feliachi), IEEE Power Engineering Society General Meeting, Calgary, Canada, July 2009. 8 Emergency of Specialization in a Swarm or Robot, (with Adam Halasz, Yanting Liang, M. Ani Hsieh),  Distributed Autonomous Robot Systems, (Martinoli et al eds. ), Springer Tracts in Advanced Robots, 83 (2012) 403-416.

PUBLICATIONS (Research Papers):

 1987-1990 1 Unique graph homomorphisms onto odd cycles, Utilitas Mathematica 31(1987), 199-208. (88e:05041). 2 On the hamiltonian index, Disc. Math. 69 (1988) 43-53. (89f:05113). 3 Contractions and hamiltonian line graphs, J. Graph Theory 12 (1988) 11-15. (89f:05114). 4 Unique graph homomorphisms onto odd cycles, II, J. of Combinatorial Theory, Series B, 46 (1989) 363-376. (90c:05088) 5 Reduced graphs of diameter two, J. Graph Theory, 14 (1990) 77 – 87. (91b:05157). 6 The size of strength-maximal graphs, J. Graph Theory, 14 (1990) 187 – 197. (91f:05075). 7 Eulerian subgraphs in graphs with short cycles, (with Paul A. Catlin) Ars Combinatoria, 30 (1990), 177 – 191. (91j:05070).

 1991-1995 8 Eulerian subgraphs in a class of graphs, Ars Combinatoria, 31 (1991) 302 - 311. (92d:05095). 9 Cycle covers in graphs without subdivisions of K_4, (with H. Y. Lai) J. of Comb. Math and Comb. Computing, 9 (1991), 201-207. (92d:05126). 10 A note on uniformly dense matroids, (with H. Y. Lai) Utilitas Mathematica, 40 (1991) 251-256. (92h:05029). 11 Cycle covering of plane triangulations, (with H. Y. Lai) J. of Comb. Math. and Comb. Computing, 10 (1991) 3-21. (92i:05160). 12 Graphs whose edges are in small cycles, Disc. Math., 94 (1991) 11 – 22. (92j:05111). 13 Small cycle covers of planar graphs, (with H. Y. Lai) Congressus Numerantium, 85 (1991) 203-209. (93c:05046). 14 Spanning trails joining two given edges, (with Paul A. Catlin) in Graph Theory, Combinatorics, and Applications'' (vol. 1), eds by Y. Alavi, G. Chartrand, O. Oellermann and A. Schwenk, Kalamazoo, (1991), 207 – 222. 15 Graphs of diameter at most two, Ars Combinatoria, (1992) 331-343. (93m:05100) 16 Nowhere-zero 3-flows of highly connected graphs, (with C. Q. Zhang) Discrete Math, 110 (1992) 179-183. (93m:05105). 17 Uniformly dense generalized prisms over graphs, (with Hobbs, H. Y. Lai and G. Weng) Congressus Numerantium 91 (1992) 99 - 105. 18 Duality of graph families, (with H. Y. Lai) Discrete Math. 110 (1992) 165-177. 19 Supereulerian complementary graphs, J. Graph Theory, 17 (1993) 263-273. (94a:05137). 20 Fractional arboricity, strength and principal partitions in graphs and matroids, (with P. A. Catlin, J. W. Grossman, A. M. Hobbs) Discrete Appl. Math. 40 (1992) 285-302. (94g:05070). 21 Graph without K_4-minors, (with H. Y. Lai) Ars Combinatoria, 36 (1993) 327-334. (94i:05078). 22 Edge-maximal (k,l)-graphs, (with C. Q. Zhang) J. Graph Theory, 18 (1994) 227 - 240. (95g:05065) 23 Collapsible graphs and Matchings, (with Z. H. Chen) J. Graph Theory, 17 (1993) 597-605. 24 Nowhere-zero flows in some regular graphs, (with Z. H. Chen, H.Y. Lai, G. Weng) Congressus Numerantium, 97 (1993) 205-208. 25 Small circuit double covers of cubic multigraphs, (with X. X. Yu and C. Q. Zhang) J. Combin. Theory (B), 60 (1994) 177 - 194. (95b:05122). 26 Jackson's conjecture on eulerian subgraphs, (with Z. H. Chen, H. Y. Lai, G. Weng), Combinatorics, Graph Theory, Algorithms and Applications, (eds. by Y. Alavi et al), 53-58, World Scientific, River Edge, NJ (1994). (95k:05111). 27 Hamiltonian connected line graphs, (with C. Q. Zhang) Ars Combinatoria, 38 (1994) 193 - 202. (96b:05099) 28 Cycles in line graphs, (with Z. H. Chen) Congressus Numerantium, 105 (1994) 129 - 133, (97a:05130). 29 Every 4-connected line graph of a planar graph is hamiltonian, Graphs and Combinatorics, 10 (1994) 249 - 253. (95i:05084). 30 Large survivable nets and the generalized prisms, Discrete Appl. Math., 61 (1995) 181-185. (96e:05141). 31 The size of graphs with given inclusive connectivity, Ars Combinatoria, 41 (1995) 225-239. (96e:05142). 32 Strength and fractional arboricity of complementary graphs, (with G. Weng) Discrete Math., 143 (1995) 141-151. (96f:05104). 33 Vertex arboricity and maximum degree, (with P. A. Catlin) Discrete Math., 141 (1995) 37-46. (96i:05045). 34 The size of graphs without nowhere-zero 4-flows, J. Graph Theory, 19 (1995) 385-395. (96k:05119). 35 Supereulerian graphs and excluded induced minors, Discrete Math., 146 (1995) 133-143. (96k:05124). 36 Every matroid is a submatroid of a uniformly dense matroid, Discrete Appl. Math., 63 (1995) 151-160. (97a:05050). 37 Reduction techniques for super-Eulerian graphs and related topics-a survey, (with Z. H. Chen), Combinatorics and graph theory’95, Vol. 1 (Hefei), 53-69, World Sci. Publishing, River Edge, NJ, 1995. (98h:05126).

 1996-2000 38 A note on the strong 2-cover conjecture for graphs without K_5-minors, (with H. Y. Lai), J. Combin. Math. and Combin. Computing, 20 (1996) 242-244. 39 Supereulerian graphs and the Petersen graph, (with Catlin), J. Combinatorial Theory, Ser B, 66 (1996) 123-139. (97a:05144). 40 A property on Edge-disjoint spanning trees (with H.Y. Lai and Payan), Europ. J. Combinatorics, 17 (1996) 447-450. (97d:05064). 41 Reduction towards collapsibility, Graph Theory, Combinatorics, and Algorithms, eds. Y. Alavi and A. Schwenk, John Wiley and Sons, New York, (1995), 661-670 . (97f:05187). 42 A note on mod (2p+1)-orientatable graphs, J. Combin. Math. Combin. Computing, 22 (1996) 223-224. (97i:05053). 43 Graphs without spanning eulerian subgraphs, (with P. A. Catlin and Z. Han), Discrete Math., 160 (1996) 81-91. (97m:05166). 44 Cycle covers of planar graphs, Congressus Numerantium, 122 (1996) 33-46. (97k:05126). 45 The higher-order edge toughness of a graph and truncated uniformly dense matroids, (with Z. H. Chen), J. Combin. Math. Combin. Computing, 22 (1996) 157-160. (97i:05063). 46 Generalized matroid packing and covering, (with Z.-H. Chen and Y. Kuang) Congressus Numerantium, 127 (1997) 155-160. (98j:05045). 47 Eulerian subgraphs containing given vertices and hamiltonian line graphs, Discrete Math., 178 (1998) 93-107. (99d:05094). 48 Supereulerian graph and the Petersen graph, II, (with Z.-H. Chen), Ars Combinatoria, 48 (1998) 271-282. (99c:05123). 49 Group coloring and group connectivity of graphs, (with Chen, Lei and Zhang), Congressus Numerantium, 134 (1998), 123-130. (99j:05068). 50 The strength and the l-edge-conenctivity, (with K. Hennayake and X. Lei), Bull. of ICA, 26 (1999), 58-70. (99m:05092). 51 Even subgraphs of a graph, (with Z. H. Chen), Combinatorics, graph theory, and algorithms, Vol. I, II (Kalamazoo, MI, 1996), 221--226, New Issues Press, Kalamazoo, MI, 1999. MR1985055. 52 J. Graph Theory, 30 (1999), 277-288. (2000c:05077) 53 Edge integrity maximal graphs, (with X. K. Zhang), J. Combin. Math. Combin. Comput. 30 (1999) 237-250. (2000d:05063). 54 Connectivity in cycle matroid and bicircular matroids, (with Chen and Kuang), Ars Combinatoria, 52 (1999), 239-290. (2001d:05032). 55 Graph homomorphisms into the odd cycle, (with B. Liu), Bulletin of the Inst. of Combin. and Appl., 28 (2000), 19-24. (2000i:05106). 56 Graphs and Combinatorics, 16 (2000), 165-176. (2001f:05074).

 2001 58 Eulerian subgraph containing given edges, Discrete Math, 230 (2001), 61-69. (2001k:05135). 59 Nowhere zero flows in line graphs, (with Chen and H. Y. Lai), Discrete Mathematics, 230 (2001), 133-141. (2001k:05193). 60 Extremal size of graphs without a nowhere zero 3 flow, (with Lei Xu) Bulletin of the Inst. of Combin. and Appl., 32 (2001), 90-95. ((2002a:05146). 61 Graph families operations, (with Catlin and Hobbs), Discrete Math, 230 (2001), 71-97. (2002b:05124). 62 Line graphs and forbidden induced subgraphs (with Soltes) J. Combinatorial Theory, Ser. B, 82 (2001) 38-55. (2002d:05104). 63 (with C. Q. Zhang), J. Graph Theory, 38 (2001),  197-219. (2002g:05120).

 2002 64 (with X. Zhang), Ars Combinatoria, 62 (2002), 299-317. MR1881968 65 (with X. Zhang) Graphs and Combinatorics, 18 (2002), 147-154. (2002m:05089). MR1892440 66 (with H. Poon), Europ. J. Combinatorics, 23 (2002), 1007-1014.  MR1938354

 2003 67 . Graph Theory, 42 (2003),   211-219. 68 Eulerian subgraph in 3-edge-connected graphs and hamiltonian line graphs, (with Zhihong Chen, Xiangwen Li, Deying Li and Jingzhong Mao) J. Graph Theory, 42 (2003),   308-319. MR1963103 69 Small cycle cover of 2-connected cubic graphs, (with X. Li), Discrete Math., 269 (2003),   295-302.  MR1989470 70 (with B. Montgomery and H. Poon), Ars Combinatoria, 68 (2003), 193--201.  MR1991048(2004e:05077) 71 (with K. Hennayake, Deying Li and Jingzhong Mao), J. Graph Theory, 44 (2003), 116-131. MR2003516

 2004 72 Global asymptotic stability in a rational recursive sequence, (with Yang, Xiaofan; Evans, David J.; Megson, Graham M.) Appl. Math. Comput. 158 (2004), no. 3, 703--716. MR2095697 73 Generalized honeycomb torus is Hamiltonian, (with Yang, Xiaofan; Evans, David J.; Megson, Graham M.) Inform. Process. Lett. 92 (2004), no. 1, 31--37. MR2085619 74 On the maximal connected component of hypercube with faulty vertices, (with Xiaofan Yang, David J. Evans, Bill Chen, Graham M. Megson), Int. J. Comput. Math. 81(5): 515-525 (2004). MR2170899

 2005 75 Eulerian subgraphs and hamiltonian connected line graphs, (with Li and Zhan), Discrete Applied Math 145 (2005) 422-428. MR2112533 76 Hamiltonian N_2-locally Connected Claw-Free Graphs, (with Shao and Zhan), J. Graph Theory, 48 (2005), 142-146.  MR2110584 77 Supereulerian planar graphs, (with Deying Li, Jingzhong Mao and Mingquan Zhan), Ars Combinatoria, 75  (2005) 313-331.  MR2133231 78 Nowhere zero 4-flow in regular matroids, (with X. Li and H. Poon), J. Graph Theory, 49 (2005) 196-204.  MR2145508 79 Spanning trails connecting given edges, (with Li, Ou and Poon), Graphs and Combinatorics, 21 (2005) 77-88.  MR2136711 80 Group Chromatic number of graph, (with X. Li), Graphs and Combinatorics, 21 (2005) 469-474. MR2209176

 2006 81 Group connectivity of graphs with diameter at most 2, (with X. J. Yao), European J. Combin., 27 (2006) 436-447. MR2206478 82 Group Chromatic number of planar graphs with girth at east 4, (with X. Li), J. Graph Theory, 52 (2006) 51-72.  MR2214441 83 Hamiltonicity in 3-connected Claw-Free Graphs, (with Yehong Shao and Mingquan Zhan), J. of Combinatorial Theory, Series B. 96 (2006) 571-576.  MR2232387 84 Every 3-connected, essentially 11-connected claw-free graph is hamiltonian, (with Y. Shao, H. Wu, and J. Zhou), J. of Combinatorial Theory, Series B. 96 (2006) 493-504. MR2232392 85 Conditional Colorings of Graphs, (with S. Fan, J. Lin, B. Montgomery, and Z. Tao), Discrete Math, 306 (2006) 1997-2004. MR2251583 86 Collapsible biclaw-free graphs, (with X. J. Yao), Discrete Math, 306 (2006) 2115-2117. MR2251832 87 Erratum: Collapsible Biclaw-free Graphs, (with X. J. Yao), Discrete Math, 307 (2007) 1217. MR2292551 88 Spanning eulerian subgraphs in claw-free graphs, (with Chen, Luo and Shao),  J. Combinatorial Theory and Combinatorial Computing 59 (2006) 165--171.  MR2277347

 2007 89 New sufficient condition for hamiltonian graphs, (with Y. Shao and K. Zhao), Applied Math Letters,  20 (2007) 116-122. MR2273619 90 Quadrangularly connected claw-free graphs, (with M. Li, C. Guo, L. Xiong, D. Li), Discrete Math. 307 (2007) 1205-1211. MR2292549 91 Problems related to hamiltonian line graphs, (with Yehong Shao), AMS/IP Studies in Advanced Mathematics, 39 (2007), 149-159. MR2338624 92 On circular flows of graphs, (with R. Xu and C. Q. Zhang), Combinatorica, 27 (2007) 245-246. MR2321927 93 An inequality for the group chromatic number of a graph, (with X. Li and G. Yu), Discrete Math., 307 (2007) 3076-3080. MR2371080 94 Mod $(2p+1)$-orientations and $K_{1, 2p+1}$-decompositions, SIAM J. of Discrete Math., 21 (2007) 844-850. MR2373336 95 An $s$-Hamiltonian Line Graph Problem，(with Z. H. Chen, D. Y. Li and W. Shiu), Graphs and Combinatoircs, 23 (2007), 241-248. MR2320578

 2008 96 Spanning cycles in regular matroids without $M^*(K_5)$ minors, (with B. Liu, Y. Liu and Y. Shao), European J. Combinatorics, 298-310. MR2368637 97 On group connectivity of graphs, (with R. Xu and J. Zhou), Graphs and Combinatorics, 24  (2008) 1-9. MR2410940 98 Hamiltonian connected hourglass free line graphs, (with D. X.  Li, Y, H, Shao and M. Q. Zhan), Discrete Math., 308 (2008) 2634-2636. MR2410474 99 Hamiltonian connected graphs, (with K. W. Zhan and Ju Zhou), Computers and Mathematics with Applications, 55 (2008) 2707-2714. 100 New Sufficient Conditions for s-Hamiltonian Graphs and s-Hamiltonian Connected Graphs, (with J. Yan, K. Zhao, and J. Zhou), Ars Combinatoria, 88 (2008), 217-227. MR2426418 101 Group connectivity of certain graphs, (with J. Chen, E. Eschen), Ars Combinatoria, 89 (2008) 141-158. MR2456240 102 On s-hamiltonian-connected line graphs, (with Liang and Shao), Discrete Math., 308 (2008) 4293-4297. MR2438182 103 Every 4-connected line graph of a quasi claw-free graph is Hamiltonian connected, (with Shao, and Zhan), Discrete Math., 308 (2008) 5312-5316. MR2450468 104 Nowhere zero 3-flows in triangularly connected graphs, (with G. Fan, R. Xu, C. Q. Zhang, and Q. Zhou), J. of Combinatorial Theory, Series B., 98 (2008) 1325-1336. MR2462322 105 (with Suohai Fan, Yehong Shao, Taoye Zhang and Ju Zhou), Discrete Math., 308 (2008) 6626-6631. MR2466970 106 A lower bound of the l-edge-connectivity and optimal graphs, (with Lili Zhang, Kamal Hennayake, and Yehong Shao), J. of Combinatorial Mathematics and Combinatorial Computing, 66 (2008) 79-95. MR2436193 107 The $s$-Hamiltonian Index, (with Elaine Eschen, Yehong Shao, and Lili Zhang), Discrete Math., 308 (2008) 4779-4785. MR2438182

 2009 108 Random walks for selected boolean implication and equivalence problems, (with K. Subramani, X. F. Gu), Acta Inform., 46 (2009), 155-168. MR2491032 109 Edge-connectivity and edge-disjoint spanning trees, (with Catlin and Y. Shao), Discrete Math., 309 (2009), 1033-1040. MR2493521 110 The supereulerian graphs in the graph family C(l, k), (with X. M. Li and D. X. Li), Discret. Math., 309 (2009), 2937-2942. MR2523805 111 (with Z. H. Chen, Liming Xiong, Huiya Yan and Mingquan Zhan), Discrete Math., 309 (2009), 4819-4827. MR2533144 112 Transforming a graph into a 1-balanced graph, (with L. Kannan,  A. M. Hobbs, and H. Y.  Lai), Discrete Applied Math., 157 (2009), 300-308. MR2479804 113 Every line graph of a 4-edge-connected graph is ${\bf Z}_3$-connected, (with Lianying Miao and Yehong Shao),  European J. Combinatorics, 30 (2009), 595-601. MR2489253 114 Improved Algorithms for Detecting Negative Cost Cycles in Undirected Graphs, (with Xianfeng Gu, Kamesh, Madduri, K. Subramani), Lecture Notes in Computer Science, June 2009, 5598 (2009), 40-50 On mod $(2p+1)$-orientations of graphs, (with Y. H. Shao, H. Wu and J. Zhou), J. of Combinatorial Theory, Series B.,  99 (2009), 399-406.  MR2482957 (with Yehong Shao, Gexin Yu and Mingquan Zhan), Discrete Applied Math.  157 (2009) 982-990. MR2500716 Reinforcing the number of disjoint spanning trees, (with Z. H. Chen), Ars Combinatoria, 93 (2009), 113-127.  MR2566744 Multi-$g$ base index of primitive anti-symmetric sign pattern matrices (with Yanting Liang and Bolian Liu) Linear and Multilinear Algebra,  57 (2009), 535-546.  MR2543715

 2010 119 On (s,t)-Supereulerian in locally highly connected graphs, (with L. Lei, X. Li, B. Wang), Discrete Math., 310 (2010) 929-934   MR2574844 120 iangjuan Yao, X. Li ), Discrete Math., 310 (2010), 1050-1058.  MR2575822 121 Spanning eulerian subgraphs in $N^2$-locally connected claw-free graphs, (with Li, Shao and Xiong), Ars Combinatoria, 94 (2010), 191-199.  MR2599731 122 The Chv´atal-Erd¨os condition for supereulerian graphs and the Hamiltonian index, (with L. Han, L. Xiong, H. Yan), Discrete Math, 310 (2010) 2082-2090.  MR2651805 123 Wan and Y. Liu), Int. J. Math. Comb, 4 (2009) 99-109 (2010).  MR2598677 124 Balanced and 1-balanced Graph Constructions, (with A. Hobbs, L. Kannan, H. Y. Lai, G. Weng), Discrete Applied Math., 158 (2010) 1511-1523. MR2659166 125 On 3-edge-connected supereulerian graphs in graph family C(l; k), (with X. M. Li and D. X. Li), Discrete Math., 310 (2010) 2455-2459. MR2659202 126 Regular matroids without disjoint circuits, (with Suohai Fan, Yehong Shao, Hehui Wu and Ju Zhou), Ars Combinatoria, 97A (2010) 153-159. MR2683742 127 Reinforcing a matroid to have $k$ disjoint bases, (with P. Li, Y. T. Liang, and J. Xu), Applied Mathematics, 1 (2010), 244-249. Every 3-connected claw-free $Z_8$-free graph is Hamiltonian, (with Liming Xiong, Huiya Yan and Jing Yan), J. of Graph Theory, 664 (2010), 1-11. MR2656745 Group Connectivity in Products of Graphs, (with Jin Yan, S. M. Yao and X. F. Gu), International Journal of Algebra, 4 (2010) 1185-1200.  MR2746248 130 $Z_3$-connectivity in graphs satisfying degree sum condition, (with X. Zhang, M. Zhan, R. Xu, Y. H. Shao, X. Li), Discrete Math., 310 (2010), 3390-3397. MR2721099

 2011 131 Group Connectivity and Group Colorings of Graphs--A survey, (with X. Li , Y. H. Shao and M. Zhan), Acta Mathematica Sinica, English Series, 27 (2011) 405-434.  MR2770816 132 Supereulerian graphs and matchings, (with Huiya Yan), Applied Math Letter, 24 (2011) 1867–1869.  MR2812228 133 Supereulerian Graphs in the Graph Family $C_2(6,k)$, (with Yanting Liang), Discrete Applied Math, 159  (2011),  467-477.  MR2765436 134 Degree sequences and graphs with disjoint spanning trees, (with Yanting Liang, Ping Li and Jinquan Xu), Discrete Applied Math., 159 (2011) 1447-145.  MR2823904 135 Obstructions to a  binary matroid being graphic, (with Manoel Lemos, Talmage James Reid, Yehong Shao, Haidong Wu), European Journal of Combinatorics 32 (2011) 853–860.  MR2821556 136 Group Connectivity in Line Graphs, (with Hao Li, Ping Li, Yanting Liang and Senmei Yao), Discrete Mathematics 311 (2011) 2295–2307.  MR2825676 137 The Maximum Size of an Edge Cut and Graph Homomorphisms. (with Suohai Fan and Ju Zhou), Applied Mathematics, 2 (2011), 1263-1269. MR2924999 138 Characterization of Minimally $(2,l)$-Connected Graphs, (with Xiaofeng Gu and Senmei Yao), Information Processing Letters 111 (2011) 1124–1129.  MR2893946 139 Every $N_2$-locally connected claw-free graph with minimum degree at least 7 is $Z_3$-connected, (with Ye Chen, Ping Li and Erling Wei), Discrete Mathematics, Algorithms and Applications, 3 (2011), 193-201. MR2822284 Mod $(2p+1)$-orientations in line graphs, (with Hao Li, Ping Li, Yanting Liang, and Senmei Yao), Information Processing Letters, 111 (2011) 1085–1088. MR2893937

 2012 141 $Z_3$-connectivity of 4-edge-connected 2-triangular graphs, (with Xinming Hou, Mingquan Zhan, Taoye Zhang, Ju Zhou), European Journal of Combinatorics, 33 (2012), 182–188. MR2854639 142 spanning tree, (with Xiaofeng Gu and Yanting Liang), Applied Math. Letter, 25 (2012) 1426–1429. MR2947420 143 On 3-connected Hamiltonian Line Graphs, (with Ye Chen and Suohai Fan), Discrete Math., 312 (2012) 1877–1882. MR2913080 144 On Dynamic Coloring for Planar Graphs and Graphs of Higher Genus, (with Ye Chen, Suohai Fan, Lei Sun and Huimin Song), Discrete Applied Math., 160 (2012) 1064–1071.  MR2901126 145 A dual version of the Brooks group coloring theorem, (with Deying Li, Suohai Fan, and Senmei Yao), Discrete Math., 312 (2012) 2294–2303.  MR2926102 146 Spanning Cycles in Regular Matroids Without Small Cocircuits, (with Ping Li, Yehong Shao and Mingquan Zhan), European Journal of Combinatorics 33 (2012) 1765–1776. MR2950479 147 (with Ping Li and Yanting Liang), Discrete Applied Math. 160 (2012) 2445-2451.   MR2957953 148 Spanning subgraph with Eulerian components, (with Zhaohong Niu, Liming Xiong), Discrete Mathematics 312 (2012) 1013–1018. MR2872943 149 Collapsible graphs and Hamiltonian connectedness of line graphs, (with Weihua Yang, Hao Li, Xiaofeng Guo), Discrete Applied Math., 160 (2012) 1837-1844. MR2921804 Connectivity and Diameter of Second Order Circuit Graphs of Matroids, (with Ping Li), Graphs and Combinatorics, (2012) 28:737–742  MR2964786 Degree condition and Z3-connectivity, (with Xiangwen Li and Yehong Shao), Discrete Math., 312 (2012) 1658–1669. MR2901162 152 Hamiltonian graphs involving neighborhood conditions, (with Lili Zhang, Yehong  Shao and Kewen Zhao), Ars Combinatoria, 105 (2012) 161-170.. 153 Spanning Eulerian Subgraphs in Generalized Prisms, (with Xiaomin Li, Dengxin Li), Ars Combinatoria, 106 (2012) 305-312.  MR2977205 154 Group Connectivity of Complementary Graphs, (with Xinmin Hou, Ping Li, and C. Q. Zhang), J. Graph Theory, 69 (2012), 464-470. MR3087035 155 Hamiltonicity of 3-connected line graph, (with Weihua Yang, Liming Xiong and Xiaofeng Guo), Applied Math. Letters, 25 (2012), 1835-1838. MR2957763

 2013 156 Group Colorability of Multigraphs, (with Hao Li), Discrete Math., 313 (2013), 101-104. MR3016976 157 Non-separating subgraphs, (with Yanmei Hong), Discrete Math. 313 (2013) 391-396.  MR3004473 158 Hamilton cycles in 3-connected claw-free and net-free graphs, (with Wei Xiong, Xiaoling Ma, Keke Wang and Meng Zhang), Discrete Math., 313 (2013), 784-795.  MR3010742 159 Note on the spectral characterization of some cubic graphs with maximum number of triangles. (with Fenjin Liu, Qiongxiang Huang), Linear Algebra and its Applications, 438 (2013) 13973-1397.  MR2997819 160 Realizing degree sequences with $k$-edge-connected uniform hypergraphs, (with Xiaofeng Gu), Discrete Math, 313 (2013) 1394-1400. MR3061124 161 On group choosability of total graphs, (with G.R. Omidi, G. Raeisi), Graphs and Combinatorics, 29 (2013), 585–597. MR3053603 162 An Update on Supereulerian Graphs, (with Yehong Shao and Huiya Yan), WSEAS Transactions on Mathematics 12 (2013) 926-940. 163 On Spanning Disjoint Paths in Line Graphs, (with Ye Chen, Zhi-Hong Chen, Ping Li and Erling Wei), Graphs and Combinatorics, 29 (2013) 1721–1731. MR3119934 164 Meghan M. McCabe,  Krishnan Radhakrishnan,  Jeremy S. Edwards), IEEE/ACM Transactions on Computational Biology and Bioinformatics, Vol. 10 (2013), 957-969. On $s$-hamiltonian line graphs, (with Yehong Shao), J. Graph Theory, 74 (2013) 344-358. MR3105554

 2014 166 On $r$-hued Coloring of $K_4$-minor Free Graphs, (with Y. Chen, H. Song and L. Sun), Discrete Math., 315–316 (2014) 47–52. MR3130354 167 (with Zhaohong Niu, Liang Sun, Liming Xiong and Huiya Yan), Discrete Math, 314 (2014) 50-60. MR3117446 168 Bounds of eigenvalues of a nontrivial bipartite graph, (with Bolian Liu and Ju Zhou), Ars Combinatoria, CXIII, (2014), 341-351. MR3186477 169 Spanning trails in essentially 4-edge-connected graphs, (with Z. H. Chen, J. Xu and M. Zhang), Discrete Applied Math., 162 (2014) 306–313. MR3128533 170 Spanning 3-connected index of graphs, (with Wei Xiong and Zhao Zhang), Journal of Combinatorial Optimizations, 27 (2014), 199–208. MR3149114 171 Edge-disjoint spanning trees and eigenvalues, (with Qinghai Liu and Yanmei Hong), Linear Algebra and Its Applications, 444 (2014), 146-151. MR3145835 172 Supereulerian Graphs and the Petersen Graph, (with Xiaoming Li, Lan Lei and Meng Zhang), Acta Mathematica Sinica, English Series, 30 (2014), 291-304.  MR3150240 173 Yang, Weihua; Li, Hao; Guo, Xiaofeng), Graphs Combin. 30 (2014) 501–510. MR3167025 174 On group choosability of graphs, II, (with H. Chang, G.R. Omidi, Keke Wang, N. Zakeri), Graphs and Combinatorics, 30 (2014) 549-563. MR3195796 Supereulerian Digraphs, (with Yanmei Hong, Qinghai Liu), Discrete Mathematics, 330 (2014) 87-95. MR3215458 176 On Strongly $Z_{2s+1}$-connected Graphs, (with Yanting Liang, Juan Liu, Jixiang Meng, Yehong Shao, Zhao Zhang), Discrete Applied Math., 174 (2014) 73-80. MR3215458 177 Cyclic base orderings in some classes of graphs, (with Xiaofeng Gu and Katie Horacek), J. Combinatorial Theory and Combinatorial Computing, 88 (2014), 39–50. 05C05. MR3202335. 178 Tian, Yingzhi; Meng, Jixiang; Zhang, Zhao), Discrete Math. 328 (2014), 36–41. MR3199814 179 Realizing degree sequences as Z3-connected graphs, (with Fan Yang and  Xiangwen Li), Discrete Math. 333 (2014), 110-119. MR3233413 180 Note on edge-disjoint spanning trees and eigenvalues, (with Qinghai Liu, Yanmei Hong, Xiaofeng Gu), Linear Algebra and Its Applications, 458 (2014), 128-133. MR3231810 181 Supereulerian graphs with small matching number and 2-connected hamiltonian claw-free graphs, (with Ping Li, Z. Miao, Keke Wang, J. Xu), International Journal of Computer Mathematics, 91 (2014), 1662-1672. MR3259539. 182 On Mod $(2s+1)$-orientations of Graphs, (with Ping Li), SIAM J. of Discrete Math., 28 (2014), 1820-1827. MR3268606. 183 Characterizations of minimal graphs with equal edge connectivity and spanning tree packing number, (with Xiaofeng Gu, Ping Li  and Senmei Yao), Graphs and Combinatorics, 30 (2014), 1453-1461. MR3268643. 184 Augmenting and preserving partition connectivity of a hypergraph, (with Xiaofeng Gu), Journal of Combinatorics, 5 (2014), 271-289. 185 Two operations on a graph preserving the (non)existence of  2-factors in  its line graph, (with Mingqiang An, Hao Li, Guifu Su, Runli Tian, Liming Xiong), Czechoslovak Mathematical Journal, Czechoslovak Math. J.  1035–1044. MR3304796

 2015 186 Per-spectral characterizations of some edge-delete subgraphs of  complete graph, (with  Heping Zhang, Tingzeng Wu), Linear and Multilinear Algebra, 397–410. MR3273763 187 (with ,  Meng Zhang)  (2015)  113-118. MR 3320740 188 $K^{-}_5$-factor in a graph, (with Yehong Shao and Mingquan Zhan), Ars Combinatorics,   122 (2015) 97-124  MR3408035 189 Integer flow and orientation,  (with R. Luo and C. Q. Zhang),  in Topics in Chromatic Graph Theory'', Eds. L. Beineke and R. Wilson, Encyclopedia of Mathematics and Its Applications, Vol. 156, (2015)  pp.181-198. 190 Graphs with a 3-cycle-2-cover, (with Zhi-Hong Chen, Miaomiao Han and Mingquan Zhan), Graphs and Combinatorics, (2015) 31:2103–2111. MR3417218 191 A Note on Arboricity of 2-edge-connected Cubic Graphs, (with Rongxia Hao, Haoyang Liu). Advances in Mathematics, 44 (2015)  865-870.  MR 3493562

 2016 192 On Perfect Matching Coverings and Even Subgraph Coverings, (with Xinmin Hou and C. Q. Zhang), J. Graph Theory, 81 (2016), 83-91. MR3431295 193 On $r$-hued coloring of planar graphs with girth at least 6, (with Huiming Song and Jianliang Wu), Discrete Applied Math., 198 (2016) 251-263.  MR3426896 194 On dense strongly $Z_{2s+1}$-connected graphs, (with Miaomiao Han, Jianping Liu and Aimei Yu),  Discrete Math., 339 (2016)  850-856. MR3431399 195 Supereulerian digraphs with given local structures, (with Mansour J. Algefari, Khalid A. Alsatami, Juan Liu), Information Processing Letters, 116 (2016) 321-326. MR3458439 196 Supereulerian graphs with width $s$ and $s$-collapsible graphs, (with Ye Chen, Herbert Fleischner, Hao Li and Ping Li), Discrete Applied Math., 200 (2016) 79-94.  MR3442576 197 Dicycle cover of Hamiltonian oriented graphs, (with  Khalid A. Alsatami,  Xindong Zhang), Journal of Discrete Mathematics,  Volume 2016, Article ID 7942192, MR3459654 198 Element deletion changes in dynamic coloring of graphs, (with Lianying Miao,  Yan-Fang Guo, Zengke Miao), Discrete Mathematics, 339 (2016) 1600-1604. MR3475575 199 Edge-disjoint spanning trees, edge connectivity and eigenvalues in graphs, (with Xiaofeng Gu, Ping Li and Senmei Yao), Journal of Graph Theory,  81 (2016) 16-29.  MR3431289 200 Supereulerian graphs with small circumference and 3-connected hamiltonian claw-free graphs, (with Xiaoling Ma, Wei Xiong,  Baoyindureng Wu,  Xinhui An), Discrete Applied Mathematics, 202 (2016) 111-130.  MR3458506 201 On a Class of Supereulerian Digraphs, (with Khalid A. Alsatami, Xindong Zhang, Juan Liu) , Applied Mathematics, 7 (2016)  320-326. 202 Extendability of contractible configurations for nowhere-zero flows and modulo orientations (with Yanting Liang, Rong Luo and Rui Xu), Graphs and Combinatorics,  32 (2016), no. 3, 1065–1075. MR3489722 203 Ore-type degree condition of supereulerian digraphs, (with Yanmei Hong and Qinghai Liu), Discrete Math., 339 (2016) 2042-2050. MR3500132 204 On the lower bound of k-maximal digraphs, (with Xiaoxia Lin, Suohai Fan, Murong Xu),  Discrete Math., 339 (2016) 2500-2510.  MR3508762 205 Algorithm for constraint partial inverse matroid problem with weight increase forbidden,  (with Shuangshuang Li, Zhao Zhang), Theoretical Computer Science, 640 (2016) 119–124.  MR3516817 206 Supereulerian digraphs with large arc-strong connectivity, (with Mansour Alfegari), J. Graph Theory, 81(4), (2016) 393-402. MR3528001 207 Algorithms for the partial inverse matroid problem in which weights can only be increased, (with Zhao Zhang, Shuangshuang Li, Ding-Zhu Du)  J.Glob Optim (2016) 65:801–811. MR3522068 208 Fractional spanning tree packing, forest covering and eigenvalues, (with Yanmei Hong, Xiaofeng Gu and Qinghai Liu), Discrete Applied Mathematics 213 (2016) 219–223. MR3544581 209 On group choosability of graphs, I, (with  H. Chuang,  G. R. Omidi, and N. Zakeri),  Ars Combin. 126 (2016), 195–209. MR 3444559

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 2017 210 Minimum degree conditions for the Hamiltonicity of 3-connected claw-free graphs, (with Zhi-Hong Chen and Liming Xiong) Journal of Combinatorial Theory, Series B, 122 (2017), 167-186.  MR 3575201 211 Spanning trails with variations of Chv\'{a}tal-Erd\H{o}s conditions, (with Zhi-Hong Chen, Meng Zhang), Discrete Mathematics, 340 (2017) 243-251.  MR 3578821 212 The index problem of group connectivity (with Miaomiao Han and Yehong Shao), Journal of Combinatorics, Vol. 8, No. 2 (2017), pp. 305-321 213 On k-maximal strength digraphs. (with Anderson, Janet; Lin, Xiaoxia; Xu, Murong), J. Graph Theory 84 (2017), no. 1, 17–25.  MR3581817 214 Characterization of digraphic sequences with strongly connected realizations. (with Hong, Yanmei; Liu, Qinghai), J. Graph Theory 84 (2017), no. 2, 191–201.  MR3601126 215 The (signless) Laplacian spectral radii of c-cyclic graphs with n vertices, girth g and k pendant vertices. (with Liu, Muhuo; Das, Kinkar Ch.), Linear Multilinear Algebra 65 (2017), no. 5, 869–881.  MR3610290 216 Panconnected index of graphs. (with   Li, Hao; Wu, Yang; Zhu, Shuzhen), Discrete Math. 340 (2017), no. 5, 1092–1097.  MR3612448 217 3-dynamic coloring and list 3-dynamic coloring of K1,3-free graphs, (with   Li, Hao), Discrete Appl. Math. 222 (2017), 166–171.   MR3624803 218 Characterizations of k-cutwidth critical trees, (with Zhenkun Zhang), J. of Comb. Optim. 34 (2017), 233-244. MR3661078 219 Group Connectivity, Strongly Z_m-Connectivity, and Edge Disjoint Spanning Trees, (with  Li, Jiaao; Luo, Rong), SIAM J. Discrete Math.  31  (2017),  no. 3, 1909–1922.   MR3691218 220 Supereulerian width of dense graphs, (with Wei Xiong, Jinquan Xu, Zhengke Miao, Yang Wu), Discrete Math. 340 (2017), 2995–3001.

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 2018 221 A property on reinforcing edge-disjoint spanning hypertrees in uniform hypergraphs (Xiaofeng Gu)  Discrete Math. 341 (2018), 400-404. MR3740318 222 MOD (2p + 1)-ORIENTATION ON BIPARTITE GRAPHS AND COMPLEMENTARY GRAPHS,(with Miaomiao Han, Xinming Hou, and Jiaao Li)  SIAM J. DISCRETE MATH. 32 (2018). 29-43. MR3740385 223 On the permanental nullity and matching number of graphs (with Tingzeng Wu),  Linear and Multilinear Algebra  66, NO. 3, (2018),  516–524 MR3764362 224 (with Mansour J. Algefari, Jinquan Xu), Discrete Applied Math. 238 (2018), 24-31. MR3763852 225 r-hued coloring of sparse graphs, (with Cheng, Jian; Lorenzen, Kate J.; Luo, Rong; Thompson, Joshua C.; Zhang, Cun-Quan),  Discrete Applied Math. 237 (2018), 75-81. MR3763299 226 Connectivity keeping stars or double-stars in 2-connected graphs, (with Tian, Yingzhi; Meng, Jixiang; Xu, Liqiong),  Discrete Math., 341 (2018) 1120-1124. MR 3764362 227 An log(n) algorithm for reliability evaluation of h-extra edge-connectivity of folded hypercubes, (with Mingzhu Zhang, Lianzhu Zhang, Xing Feng), IEEE Tran. On Reliability, 67 (2018) 297-307. 228 List r-hued chromatic number of graphs with bounded maximum average degrees, (with Huimin Song and Jianliang Wu), Discrete Math., 341 (2018) 1244-1252. MR3777039 229 Degree sum and hamiltonian-connected line graphs, (with Jianping Liu, Aimei Yu, and Keke Wang), Discrete Math., 341 (2018) 1363-3179. MR3777055 230 On the permanental sum of graphs, (with Tingzeng Wu), Applied Mathematics and Computation, 331 (2018) 334-340.  MR3784380 231 Minimax properties of some density measures in graphs and digraphs, (with Anderson, Janet; Li, Xiaomin; Lin, Xiaoxia; Xu, Murong),  Int. J. Comput. Math. Comput. Syst. Theory,  3 (2018), no. 1, 1–12. MR 3779169 232 Strongly Spanning Trailable Graphs with Short Longest Paths, (with  Ping Li, Keke Wang, Mingquan Zhan), Ars Combinatoris 137 (2018), 3-39. 233 The connectivity of generalized graph products, (with Xiaoming Li, Lan Lei),   136 (2018), 37- 40.

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