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Graphs in which some and every maximum matching is uniquely restricted.
- Source :
-
Journal of Graph Theory . Sep2018, Vol. 89 Issue 1, p55-63. 9p. - Publication Year :
- 2018
-
Abstract
- Abstract: A matching M in a graph G is uniquely restricted if there is no matching M ′ in G that is distinct from M but covers the same vertices as M. Solving a problem posed by Golumbic, Hirst, and Lewenstein, we characterize the graphs in which some maximum matching is uniquely restricted. Solving a problem posed by Levit and Mandrescu, we characterize the graphs in which every maximum matching is uniquely restricted. Both our characterizations lead to efficient recognition algorithms for the corresponding graphs. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03649024
- Volume :
- 89
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Graph Theory
- Publication Type :
- Academic Journal
- Accession number :
- 130628212
- Full Text :
- https://doi.org/10.1002/jgt.22239