... chromatic number of a random graph By Dimitris Achlioptas and Assaf Naor Annals of Mathematics, 162 (2005), 1335–1351 The two possible values of the chromatic number of a random graph By ... for anynonnegative random variable X,Pr[X>0] ≥ (EX)2/EX2. THE CHROMATIC NUMBER OF A RANDOM GRAPH 1337Specifically, the number of k-colorings of a random graph is the sum,over all k-partitions ... 63–70.[2]N. Alon and M. Krivelevich, The concentration of the chromatic number of random graphs, Combinatorica 17 (1997), 303–313. THE CHROMATIC NUMBER OF A RANDOM GRAPH 1351[3] N. Alonand J. H....