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Characterization of Line-Consistent Signed Graphs

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Slilaty D. C., Zaslavsky T.

Discussiones Mathematicae Graph Theory

2015

tom 35

nr 3

589-594

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.

Ograniczanie wyników

1 Discussiones Mathematicae Graph Theory

1 Slilaty D. C.

1 Zaslavsky T.

1 2015

Wyniki wyszukiwania

Characterization of Line-Consistent Signed Graphs