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Asymptotic Enumeration of Sparse Multigraphs with Given Degrees

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Greenhill, Catherine
McKay, Brendan

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Society for Industrial and Applied Mathematics

Abstract

Let J and J be subsets of N such that 0, 1 J and 0 J. For infinitely many n, let k = (k1, . . . , kn) be a vector of nonnegative integers whose sum M is even. We find an asymptotic expression for the number of multigraphs on the vertex set {1, . . . ,n} w

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SIAM Journal on Discrete Mathematics

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Restricted until

2037-12-31
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