Title
On Twisted Odd Graphs
Abstract
The twisted odd graphs are obtained from the well-known odd graphs through an involutive automorphism. As expected, the twisted odd graphs share some of the interesting properties of the odd graphs but, in general, they seem to have a more involved structure. Here we study some of their basic properties, such as their automorphism group, diameter, and spectrum. They turn out to be examples of the so-called boundary graphs, which are graphs satisfying an extremal property that arises from a bound for the diameter of a graph in terms of its distinct eigenvalues.
Year
DOI
Venue
2000
10.1017/S0963548300004181
Combinatorics, Probability & Computing
Keywords
Field
DocType
distinct eigenvalues,odd graph,basic property,twisted odd graph,twisted odd graphs,interesting property,extremal property,well-known odd graph,involutive automorphism,automorphism group,involved structure
Odd graph,Discrete mathematics,Indifference graph,Combinatorics,Chordal graph,Clique-sum,Pathwidth,1-planar graph,Mathematics,Metric dimension,Strong perfect graph theorem
Journal
Volume
Issue
ISSN
9
3
0963-5483
Citations 
PageRank 
References 
0
0.34
6
Authors
3
Name
Order
Citations
PageRank
M. A. Fiol181687.28
E. Garriga216419.92
J. L.A. Yebra329136.48