Even cycles and perfect matchings in claw-free plane graphs

Lov{\'a}sz showed that a matching covered graph $G$ has an ear decomposition starting with an arbitrary edge of $G$. Let $G$ be a graph which has a perfect matching. We call $G$ cycle-nice if for each even cycle $C$ of $G$, $G-V(C)$ has a perfect matching. If $G$ is a cycle-nice matching covere...

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Bibliographic Details
Main Authors: Shanshan Zhang, Xiumei Wang, Jinjiang Yuan
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2020-10-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/6062/pdf