Characterization of Line-Consistent Signed Graphs
Document Type
Article
Publication Date
7-1-2015
Abstract
The line graph of a graph with signed edges carries vertex signs. A vertex-signed graph is consistent if every circle (cycle, circuit) has positive vertex-sign product. Acharya, Acharya, and Sinha recently characterized line-consistent signed graphs, i.e., edge-signed graphs whose line graphs, with the naturally induced vertex signature, are consistent. Their proof applies Hoede's relatively difficult characterization of consistent vertex-signed graphs. We give a simple proof that does not depend on Hoede's theorem as well as a structural description of line-consistent signed graphs.
Repository Citation
Slilaty, D.,
& Zaslavsky, T.
(2015). Characterization of Line-Consistent Signed Graphs. Discussiones Mathematicae Graph Theory, 35, 589-594.
https://corescholar.libraries.wright.edu/math/287
