Title
Distance and connectivity measures in permutation graphs
Abstract
A permutation graph G^@p 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 G^@p and G. In particular, we show that if G has no isolates and is not 2K\"k for k odd, then there exists a permutation graph of G with edge-connectivity equal to its minimum degree.
Year
DOI
Venue
2003
10.1016/S0012-365X(02)00870-1
Discrete Mathematics
Keywords
Field
DocType
augmenting,generalized prism,connectivity,permutation graph
Graph theory,Existence theorem,Permutation graph,Discrete mathematics,Combinatorics,Disjoint sets,Graph power,Permutation,Distance,Cyclic permutation,Mathematics
Journal
Volume
Issue
ISSN
271
1-3
Discrete Mathematics
Citations 
PageRank 
References 
15
1.26
3
Authors
3
Name
Order
Citations
PageRank
Wayne Goddard112615.95
Michael Raines2314.70
Peter J. Slater3593132.02