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Graphs with each edge in at most one maximum matching.

Authors :
Niu, Mengyuan
Zhang, Yipei
Liu, Jinfeng
Wang, Xiumei
Source :
Discrete Applied Mathematics. May2024, Vol. 349, p70-74. 5p.
Publication Year :
2024

Abstract

A matching in a graph is a set of pairwise nonadjacent edges. A maximum matching is a matching which covers as many vertices as possible. In this paper, using the Gallai–Edmonds Structure Theorem, we obtain a characterization of graphs each of whose edges belongs to at most one maximum matching. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*BIPARTITE graphs

Details

Language :
English
ISSN :
0166218X
Volume :
349
Database :
Academic Search Index
Journal :
Discrete Applied Mathematics
Publication Type :
Academic Journal
Accession number :
176247648
Full Text :
https://doi.org/10.1016/j.dam.2024.01.038