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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Distance and connectivity measures in permutation graphs
Discrete Mathematics, Volume 271, No. 1-3, Year 2003
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Description
A permutation graph Gπ of a graph G (or generalized prism) is obtained by taking two disjoint copies of G and adding an arbitrary matching between the copies. For the parameters diameter, radius, average distance, connectivity and edge-connectivity, we compare the values of the parameter for Gπ and G. In particular, we show that if G has no isolates and is not 2Kk for k odd, then there exists a permutation graph of G with edge-connectivity equal to its minimum degree. © 2003 Elsevier B.V. All rights reserved.
Authors & Co-Authors
Goddard, Wayne D.
South Africa, Durban
University of Kwazulu-natal
United States, Clemson
Clemson University
Raines, Michael E.
United States, Kalamazoo
Western Michigan University
Slater, Peter J.
United States, Huntsville
The University of Alabama in Huntsville
Statistics
Citations: 27
Authors: 3
Affiliations: 4
Identifiers
Doi:
10.1016/S0012-365X(02)00870-1
ISSN:
0012365X
Study Design
Case-Control Study