Graphs with all holes the same length

Fuente: arXiv
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Hauptverfasser: Cook, Linda, Horsfield, Jake, Preissmann, Myriam, Robin, Cléophée, Seymour, Paul, Sintiari, Ni Luh Dewi, Trotignon, Nicolas, Vušković, Kristina
Format: Preprint
Veröffentlicht: 2021
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_version_ 1866917664566280192
author Cook, Linda
Horsfield, Jake
Preissmann, Myriam
Robin, Cléophée
Seymour, Paul
Sintiari, Ni Luh Dewi
Trotignon, Nicolas
Vušković, Kristina
author_facet Cook, Linda
Horsfield, Jake
Preissmann, Myriam
Robin, Cléophée
Seymour, Paul
Sintiari, Ni Luh Dewi
Trotignon, Nicolas
Vušković, Kristina
contents A graph is "$\ell$-holed" if all its induced cycles of length at least four have length exactly $\ell$. We give a complete description of the $\ell$-holed graphs for each $\ell\ge 7$.
format Preprint
id arxiv_https___arxiv_org_abs_2110_09970
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Graphs with all holes the same length
Cook, Linda
Horsfield, Jake
Preissmann, Myriam
Robin, Cléophée
Seymour, Paul
Sintiari, Ni Luh Dewi
Trotignon, Nicolas
Vušković, Kristina
Combinatorics
05C75
A graph is "$\ell$-holed" if all its induced cycles of length at least four have length exactly $\ell$. We give a complete description of the $\ell$-holed graphs for each $\ell\ge 7$.
title Graphs with all holes the same length
topic Combinatorics
05C75
url https://arxiv.org/abs/2110.09970