Abstract of Colloquium talk at Math Department of WVU, September 11, 1997

Professor Anthony Hilton

Reading University and Eberly Professor at WVU

Fractional Hall and Fractional Choice numbers of a graph

We discuss the fractional analogues of various graph parameters such as the chromatic number, the choice number and the Hall number. We shall explain some of the fascinating results that have been established, and point out some intriguing questions that remain.