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Microsoft
Embedding spanning trees in random graphs
We prove that if T is a tree on n vertices with maximum degree D and the edge probability p(n) satisfies: np c maxD*log n,nε for some positive ε0, then with high probability (w.h.p.) the random graph G(n,p) contains a copy of T. In particular, G(n,n-1+ε) w.h.p. contains a copy of any given bounded degree […]
Aug 16, 2010
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