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arxiv:2509.03847

Structural properties and characterizations of W_{p} class

Published on Sep 4, 2025
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Abstract

We establish new characterizations of graphs belonging to the 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 Plum93 in the case p=2.

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