Flexible $3$-valent graphs of even girth

We prove the existence of a connected flexible $3$-valent vertex-transitive graph of girth $2\ell$ for every integer $\ell$. We also give a constructive proof if $\ell$ is prime.

Publication Details

Journal
ArXiv.org
Published
2025-08-22
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Flexible $3$-valent graphs of even girth

ArXiv.org
Geochemistry and Geologic Mapping
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Flexible $3$-valent graphs of even girth

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Abstract

We prove the existence of a connected flexible $3$-valent vertex-transitive graph of girth $2\ell$ for every integer $\ell$. We also give a constructive proof if $\ell$ is prime.

ArXiv.org
Openalex Percentile: Top 65%
Geochemistry and Geologic Mapping
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Flexible $3$-valent graphs of even girth · ArXiv.org (2025) | TGRS Research Map | TGRS