Title
The spectral excess theorem for distance-biregular graphs
Abstract
The spectral excess theorem for distance-regular graphs states that a regular (connected) graph is distance-regular if and only if its spectral-excess equals its average excess. A bipartite graph Gamma is distance-biregular when it is distance-regular around each vertex and the intersection array only depends on the stable set such a vertex belongs to. In this note we derive a new version of the spectral excess theorem for bipartite distance-biregular graphs.
Year
Venue
Keywords
2013
ELECTRONIC JOURNAL OF COMBINATORICS
The spectral excess theorem,Distance-biregular graph,Local spectra,Pre-distance polynomials
Field
DocType
Volume
Perfect graph,Discrete mathematics,Combinatorics,Robertson–Seymour theorem,Forbidden graph characterization,Bipartite graph,1-planar graph,Extremal graph theory,Mathematics,Planar graph,Strong perfect graph theorem
Journal
20.0
Issue
ISSN
Citations 
3.0
1077-8926
0
PageRank 
References 
Authors
0.34
7
3
Name
Order
Citations
PageRank
fiol mora100.34
miquel angel2283.43
M. A. Fiol381687.28