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arXiv · 2509.03847

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

Do Trong Hoang·Vadim E. Levit·Eugen Mandrescu
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Abstract

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 $p=2$.

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Do Trong Hoang, Vadim E. Levit, Eugen Mandrescu. 2025-09-04. Structural properties and characterizations of $\mathbf{W}_{p}$ class. https://arxiv.org/abs/2509.03847

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