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Hauptverfasser:	Ascolese, Michela, Lienau, Matthias, Schulte, Matthias, Taraz, Anusch
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Combinatorics Probability
Online-Zugang:	https://arxiv.org/abs/2402.04737
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author	Ascolese, Michela Lienau, Matthias Schulte, Matthias Taraz, Anusch
author_facet	Ascolese, Michela Lienau, Matthias Schulte, Matthias Taraz, Anusch
contents	The question whether there exists a hypergraph whose degrees are equal to a given sequence of integers is a well-known reconstruction problem in graph theory, which is motivated by discrete tomography. In this paper we approach the problem by randomized algorithms which generate the required hypergraph with positive probability if the sequence satisfies certain constraints.
format	Preprint
id	arxiv_https___arxiv_org_abs_2402_04737
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Randomized algorithms to generate hypergraphs with given degree sequences Ascolese, Michela Lienau, Matthias Schulte, Matthias Taraz, Anusch Combinatorics Probability The question whether there exists a hypergraph whose degrees are equal to a given sequence of integers is a well-known reconstruction problem in graph theory, which is motivated by discrete tomography. In this paper we approach the problem by randomized algorithms which generate the required hypergraph with positive probability if the sequence satisfies certain constraints.
title	Randomized algorithms to generate hypergraphs with given degree sequences
topic	Combinatorics Probability
url	https://arxiv.org/abs/2402.04737

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