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Colloquia

Tokuji Araya

Topological approach to modeling spatial cognition

Date: 2/8/2017
Time: 4:00PM-5:00PM
Place: 315 Armstrong Hall

Abstract:The Auslander-Reiten quiver is one of the crucial tools to investigate the category of finitely generated modules over noetherian rings. It is an oriented graph whose vertices are indicated by indecomposable modules, and whose arrows are indicated by irreducible homomorphisms. In this talk, we will recall the notion of Auslander-Reiten quiver and calculate some examples.

Tokuji Araya

All are welcome.

Date, Location: 
2017-2-8

Yuri Dabaghian

Topological approach to modeling spatial cognition

Date: 2/1/2017
Time: 9:00AM-11:00AM
Place: 401 Engineering Science Building

Yuri Dabaghian

All are welcome.

Date, Location: 
2017-2-1

Yu Hu

Relating the connectivity of neural networks to dynamics: the effect of motifs and connecting network models across scales

Date: 1/30/2017
Time: 5:00PM-7:00PM
Place: 301 Health Sciences Center Biomedical Research Building

Yu Hu

All are welcome.

Date, Location: 
2017-1-30

Liu and Zhang

There will be two speakers for this event.

Professor Liu, Hubei University, will speak on "Some Conjectures on the Signless Laplacian Spectral Radius of Graphs".

Professor Zhang, Xia'Meng University, will speak on "The Surviving Rate of Graphs for Firefighter Problem"

Liu Abstract: Here
Zhang Abstract: Here

Date: 11/18/2016
Time: 3:30PM-5:30PM
Place: 315 Armstrong Hall

Date, Location: 
2016-11-18

Xiangqian Zhou

Induction for "4-connected" Matroids and Graphs

A matroid M is a pair (E,I) where E is a finite set, called the ground set of M, and I is a non-empty collection of subsets of E, called independent sets of M, such that (1) a subset of an independent set is independent; and (2) if I and J are independent sets with |I|

Abstract: Here

Date: 10/28/2016
Time: 3:30PM-4:30PM
Place: 315 Armstrong Hall

Xiangqian (Joe) Zhou's Webpage

Date, Location: 
2016-10-28

Yue Zhao

Vizing's conjectures and related problems

In 1965, Vizing proposed three conjectures about edge chromatic critical graphs which are Vizing’s Planar Graph Conjecture, Vizing’s 2-Factor Conjecture and the conjecture about the size of edge chromatic critical graphs. In 1968, Vizing proposed the Independence Number Conjecture that is a weaker conjecture than his 2-factor conjecture. In this talk, we will focus on the above four conjectures and talk about the progress and some related problems.

Date: 10/27/2016
Time: 3:30PM-4:30PM
Place: 315 Armstrong Hall

Date, Location: 
2016-10-27

Sean Sather-Wagstaff

Finiteness Conditions in Algebra

Mathematical objects that satisfy finiteness conditions are frequently easier to work with than arbitrary objects.  For instance, finite dimensional vector spaces are nicer in many ways than infinite dimensional ones. In this talk, I will discuss a variety of classical finiteness conditions in algebra and other areas: what they are and why they are useful. I will conclude with some new results answering a modified version of a question of Huneke about finiteness of associated primes in local cohomology. 

This talk will be accessible to graduate students.

Date: 10/25/2016
Time: 4:00PM-5:00PM
Place: 315 Armstrong Hall

Sean Sather-Wagstaff's Webpage

Date, Location: 
2016-10-25

Zhi-Hong Chen

Cycles of claw-free graphs and Catlin's reduction method

In the study of cycles of claw-free graphs,
Ryj\'{a}\u{c}ek developed a very nice closure concept: For a connected claw-free graph $H$, there is a $K_3$-free graph $G$ such that its closure $cl(H)=L(G)$ and for each cycle $C_0$ in $L(G)$, there exists a cycle $C$ in $H$ with $V(C_0)\subseteq V(C)$. A theorem by Harary and Nash-Williams shows that a line graph $L(G)$ has a Hamiltonian cycle if and only if $G$ has a dominating closed trail.

Thus, to find a cycle in a claw-free graph $H$ can be reduced to finding a closed trail in the preimage $G$ of the line graph of $L(G)$, where $L(G)=cl(H)$.
In this talk, I will discuss applications of Catlin's reduction method to the study of cycles in claw-free graphs and discuss new results and solutions of some conjectures on claw-free graphs that we obtained recently.

Date: 10/14/2016
Time: 3:45PM-4:45PM
Place: 315 Armstrong Hall

Date, Location: 
2016-10-14

Liang Hong

Credibility Theory without Tears

After a brief introduction of the actuarial science program at Robert Morris University, I will introduce the basic framework of Bayesian statistics and classical theory of credibility theory, a topic heavily tested on SOA's Exam C.
The last part of the talk will give the latest development in credibility theory; this work was done by my colleague (Dr. Ryan Martin, at North Carolina State University) and me, and our project was jointly sponsored by the Casualty Actuarial Society and Society of Actuaries through 2015 Individual Grant. The technical details are kept to a minimum. Therefore, the talk is accessible to anyone with a background in calculus-based probability theory, that is, the basic topics on Exam P.

Dr. Hong received his PhD in mathematics from Purdue University. He has received grants from the Casualty Actuarial Society (CAS), Society of Actuaries (SOA), and State Farm Insurance Company; and he has given research talks at several Center for Actuarial Excellence (CAE) schools including Drake University, Georgia State University, Temple University, University of Waterloo, University of Wisconsin, Madison.

Date: 9/23/2016
Time: 12:30PM-1:20PM
Place: 121 Armstrong Hall

Date, Location: 
2016-09-23

Hao Li

On the g-extra connectivity of $3$-ary $n$-cube networks

Let $G$ be a connected graph and let $F$ be a set of vertices.
The $g$-extra connectivity of $G$ is the cardinality of a minimum set
$F$ such that $G-F$ is disconnected and each component of $G-F$ has at
least $g+1$ vertices. The $g$-extra connectivity is an important
parameter to measure the reliability and fault tolerance ability of
large interconnection network of parallel computing systems.
In 2011, the $g$-extra connectiviy for $g=1,2$ of 3-ary $n$-cubes are
gotten by Zhu et al. The 3-extra connectivity of 3-ary $n$-cubes are
given by Gu and Hao in 2014. Here, we determine the $g$-extra
connectivity of 3-ary $n$-cubes for $0\le g \le 2n$.

Date: 8/25/2016
Time: 3:45PM-4:45PM
Place: 315 Armstrong Hall

Date, Location: 
2016-08-25

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