Randomized Algorithms to Generate Hypergraphs with Given Degree Sequences

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.

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Publication Details

Journal
The Electronic Journal of Combinatorics
Published
2025-04-24
DOI
https://doi.org/10.37236/12748
Primary Topic
Rough Sets and Fuzzy Logic
Type
article
Field-Weighted Citation Impact
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article

Randomized Algorithms to Generate Hypergraphs with Given Degree Sequences

Anusch Taraz, Matthias Schulte, Michela Ascolese, Matthias Lienau
The Electronic Journal of Combinatorics
Rough Sets and Fuzzy Logic
article

Randomized Algorithms to Generate Hypergraphs with Given Degree Sequences

Anusch Taraz, Matthias Schulte, Michela Ascolese, Matthias Lienau
article en

Abstract

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.

The Electronic Journal of CombinatoricsVol. 32(2)
Universität Hamburg (DE), University of Florence (IT), Hamburg University of Technology (DE)
Openalex Percentile: Top 90%
Rough Sets and Fuzzy Logic
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