The Choice Number of Random Bipartite Graphs
نویسندگان
چکیده
A random bipartite graph G n n p is obtained by taking two disjoint subsets of vertices A and B of cardinality n each, and by connecting each pair of vertices a ! A and b ! B by an edge randomly and independently with probability p " p n . We show that the choice number of G n n p is, almost surely, 1 # o 1 log2 np for all values of the edge probability p " p n , where the o 1 term tends to 0 as np tends to infinity.
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