We study a simple Markov chain, known as the Glauber dynamics, for generating a random k-coloring of a n-vertex graph with maximum degree . We prove that, for every > 0, the d...
Martin E. Dyer, Alan M. Frieze, Thomas P. Hayes, E...
Iterated Register Coalescing (IRC) is a widely used heuristic for performing register allocation via graph coloring. Many implementations in existing compilers follow (more or less...
Abstract. We study the problem of the amount of information (advice) about a graph that must be given to its nodes in order to achieve fast distributed computations. The required s...
Pierre Fraigniaud, Cyril Gavoille, David Ilcinkas,...
: This article proves the following result: Let G and G be graphs of orders n and n , respectively. Let G be obtained from G by adding to each vertex a set of n degree 1 neighbors....
For graphs G and H, let G H denote their Cartesian sum. This paper investigates the chromatic number and the circular chromatic number for GH. It is proved that (G H) max{ c(G)...