1. On the 3-restricted edge connectivity of permutation graphs
- Author
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Balbuena, C., González-Moreno, D., and Marcote, X.
- Subjects
- *
GRAPH connectivity , *PERMUTATIONS , *GRAPH theory , *ALGEBRA , *COMBINATORICS , *MATHEMATICAL analysis - Abstract
Abstract: An edge cut of a connected graph is a -restricted edge cut if is disconnected, and every component of has at least vertices. The -restricted edge connectivity is defined as the minimum cardinality over all -restricted edge cuts. A permutation graph is obtained by taking two disjoint copies of a graph and adding a perfect matching between the two copies. The -restricted edge connectivity of a permutation graph is upper bounded by the so-called minimum -edge degree. In this paper some sufficient conditions guaranteeing optimal -restricted edge connectivity and super -restricted edge connectivity for permutation graphs are presented for . [Copyright &y& Elsevier]
- Published
- 2009
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