English

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

Combinatorics 2025-09-05 v1

Abstract

We establish new characterizations of graphs belonging to the Wp\mathbf{W}_p class. In addition, we characterize locally triangle-free α\alpha-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=2p=2.

Cite

@article{arxiv.2509.03847,
  title  = {Structural properties and characterizations of $\mathbf{W}_{p}$ class},
  author = {Do Trong Hoang and Vadim E. Levit and Eugen Mandrescu},
  journal= {arXiv preprint arXiv:2509.03847},
  year   = {2025}
}

Comments

13 pages

R2 v1 2026-07-01T05:20:18.122Z