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arXiv · 1607.00476

Equimatchable Claw-Free Graphs

Saieed Akbari·Hadi Alizadeh·Tınaz Ekim·Didem Gözüpek·Mordechai Shalom
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Abstract

A graph is equimatchable if all of its maximal matchings have the same size. A graph is claw-free if it does not have a claw as an induced subgraph. In this paper, we provide, to the best of our knowledge, the first characterization of claw-free equimatchable graphs by identifying the equimatchable claw-free graph families. This characterization implies an efficient recognition algorithm.

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Saieed Akbari, Hadi Alizadeh, Tınaz Ekim, Didem Gözüpek, Mordechai Shalom. 2016-07-02. Equimatchable Claw-Free Graphs. https://doi.org/10.1016/j.disc.2018.06.043

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