Sampling hypergraphs with given degrees

نویسندگان

چکیده

There is a well-known connection between hypergraphs and bipartite graphs, obtained by treating the incidence matrix of hypergraph as biadjacency graph. We use this to describe analyse rejection sampling algorithm for simple uniform with given degree sequence. Our uses, black box, an A graphs degrees, uniformly or nearly uniformly, in (expected) polynomial time. The expected runtime depends on graph A, probability that random degrees corresponds hypergraph. give some conditions sequence which guarantee bounded below positive constant.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2021

ISSN: ['1872-681X', '0012-365X']

DOI: https://doi.org/10.1016/j.disc.2021.112566