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- W4299852605 abstract "We investigate the number of symmetric matrices of non-negative integers with zero diagonal such that each row sum is the same. Equivalently, these are zero diagonal symmetric contingency tables with uniform margins, or loop-free regular multigraphs. We determine the asymptotic value of this number as the size of the matrix tends to infinity, provided the row sum is large enough. We conjecture that our answer is valid for all row sums." @default.
- W4299852605 created "2022-10-03" @default.
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- W4299852605 date "2011-08-23" @default.
- W4299852605 modified "2023-10-18" @default.
- W4299852605 title "Asymptotic enumeration of symmetric integer matrices with uniform row sums" @default.
- W4299852605 doi "https://doi.org/10.48550/arxiv.1108.4496" @default.
- W4299852605 hasPublicationYear "2011" @default.
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