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Equimatchable claw-free graphs.

Authors :
Akbari, Saieed
Alizadeh, Hadi
Ekim, Tınaz
Gözüpek, Didem
Shalom, Mordechai
Source :
Discrete Mathematics. Oct2018, Vol. 341 Issue 10, p2859-2871. 13p.
Publication Year :
2018

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 the first characterization of claw-free equimatchable graphs by identifying the equimatchable claw-free graph families. This characterization implies an efficient recognition algorithm. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0012365X
Volume :
341
Issue :
10
Database :
Academic Search Index
Journal :
Discrete Mathematics
Publication Type :
Academic Journal
Accession number :
131251885
Full Text :
https://doi.org/10.1016/j.disc.2018.06.043