In this paper, the total chromatic number and fractional total chromatic number of circulant graphs are studied. For cubic circulant graphs we give upper bounds on the fractional ...
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...
We study integrality gaps for SDP relaxations of constraint satisfaction problems, in the hierarchy of SDPs defined by Lasserre. Schoenebeck [25] recently showed the first integra...