Elementary proofs of the diameter bounds for the power graphs

Fuente: arXiv
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Main Authors: Barbieri, Marco, Rekvényi, Kamilla
Format: Preprint
Published: 2024
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author Barbieri, Marco
Rekvényi, Kamilla
author_facet Barbieri, Marco
Rekvényi, Kamilla
contents We give a simplified version of the proofs that, outside of their isolated vertices, the complement of the enhanced power graph and of the power graph are connected of diameter at most $3$.
format Preprint
id arxiv_https___arxiv_org_abs_2411_05429
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Elementary proofs of the diameter bounds for the power graphs
Barbieri, Marco
Rekvényi, Kamilla
Group Theory
Combinatorics
20D60, 05C25
We give a simplified version of the proofs that, outside of their isolated vertices, the complement of the enhanced power graph and of the power graph are connected of diameter at most $3$.
title Elementary proofs of the diameter bounds for the power graphs
topic Group Theory
Combinatorics
20D60, 05C25
url https://arxiv.org/abs/2411.05429