Hypergraphs defined on algebraic structures

Peter J. Cameron; Aparna Lakshnmanan S; Midhuna V. Ajith

doi:10.22049/cco.2024.29607.2077

Hypergraphs defined on algebraic structures

Peter J. Cameron
, Aparna Lakshnmanan S
, Midhuna V. Ajith^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

There has been a great deal of research on graphs defined on algebraic structures in the last two decades. Power graphs, commuting graphs, cyclic graphs are some examples. In this paper we begin an exploration of hypergraphs defined on algebraic structures, especially groups, to investigate whether this can add a new perspective.

Original language	English
Pages (from-to)	131-144
Number of pages	14
Journal	Communications in Combinatorics and Optimization
Volume	11
Issue number	1
Early online date	6 May 2024
DOIs	https://doi.org/10.22049/cco.2024.29607.2077
Publication status	Published - 1 Mar 2026

Keywords

Commuting hypergraphs
Power hypergraphs
Enhanced power hypergraphs
Generating hypergraphs

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title = "Hypergraphs defined on algebraic structures",

abstract = "There has been a great deal of research on graphs defined on algebraic structures in the last two decades. Power graphs, commuting graphs, cyclic graphs are some examples. In this paper we begin an exploration of hypergraphs defined on algebraic structures, especially groups, to investigate whether this can add a new perspective.",

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KW - Power hypergraphs

KW - Enhanced power hypergraphs

KW - Generating hypergraphs

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DO - 10.22049/cco.2024.29607.2077

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Hypergraphs defined on algebraic structures

Abstract

Keywords

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