Structural properties and characterizations of $\mathbf{W}_{p}$ class

Fuente: arXiv
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Autores principales: Hoang, Do Trong, Levit, Vadim E., Mandrescu, Eugen
Formato: Preprint
Publicado: 2025
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author Hoang, Do Trong
Levit, Vadim E.
Mandrescu, Eugen
author_facet Hoang, Do Trong
Levit, Vadim E.
Mandrescu, Eugen
contents We establish new characterizations of graphs belonging to the $\mathbf{W}_p$ class. In addition, we characterize locally triangle-free $α$-critical graphs in this class. As a consequence, our results yield a partial answer to a question raised by Plummer \cite{Plum93} in the case $p=2$.
format Preprint
id arxiv_https___arxiv_org_abs_2509_03847
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Structural properties and characterizations of $\mathbf{W}_{p}$ class
Hoang, Do Trong
Levit, Vadim E.
Mandrescu, Eugen
Combinatorics
We establish new characterizations of graphs belonging to the $\mathbf{W}_p$ class. In addition, we characterize locally triangle-free $α$-critical graphs in this class. As a consequence, our results yield a partial answer to a question raised by Plummer \cite{Plum93} in the case $p=2$.
title Structural properties and characterizations of $\mathbf{W}_{p}$ class
topic Combinatorics
url https://arxiv.org/abs/2509.03847