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AI & Computingarticle2026-10-05

Enumeration of Regular Multipartite Hypergraphs

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Abstract

Abstract. We determine the asymptotic number of regular multipartite hypergraphs, also known as multidimensional binary contingency tables, for all values of the parameters.

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View paper (DOI)Open access versionOpenAlexSIAM Journal on Discrete MathematicsPublished 2026-10-05

Authors: Mikhail Isaev, Tamás Makai, Brendan D. McKay

Institutions: UNSW Sydney, Ludwig-Maximilians-Universität München, Australian National University, LMU Klinikum

Advanced Combinatorial MathematicsLimits and Structures in Graph TheoryAdvanced Graph Theory Research