The choice number of random bipartite graphs
نویسندگان
چکیده
منابع مشابه
The Choice Number of Random Bipartite Graphs
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 a...
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Let I and O denote two sets of vertices, where I ∩ O = Φ, |I| = n, |O| = r, and Bu(n, r) denote the set of unlabeled graphs whose edges connect vertices in I and O. It is shown that the following two-sided equality holds. ( r+2n−1 r ) n! ≤ |Bu(n, r)| ≤ 2 ( r+2n−1 r )
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ژورنال
عنوان ژورنال: Annals of Combinatorics
سال: 1998
ISSN: 0218-0006,0219-3094
DOI: 10.1007/bf01608526