Title
Signed analogs of bipartite graphs
Abstract
We characterize the edge-signed graphs in which every ‘significant’ positive closed walk (or combination of walks) has even length, under seven different criteria for significance, and also those edge-signed graphs whose double covering graph is bipartite. If the property of even length is generalized to positivity in a second edge signing, the characterizations generalize as well. We also characterize the edge-signed graphs with the smallest nontrivial chromatic numbers.
Year
DOI
Venue
1998
10.1016/S0012-365X(96)00386-X
Discrete Mathematics
Keywords
Field
DocType
bipartite graph
Complete bipartite graph,Discrete mathematics,Combinatorics,Indifference graph,Forbidden graph characterization,Chordal graph,Cograph,Pathwidth,1-planar graph,Triangle-free graph,Mathematics
Journal
Volume
Issue
ISSN
179
1-3
Discrete Mathematics
Citations 
PageRank 
References 
1
0.46
6
Authors
1
Name
Order
Citations
PageRank
T. Zaslavsky129756.67