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A characterization of consistent marked graphs

✍ Scribed by Cornelis Hoede

Publisher: John Wiley and Sons
Year: 1992
Tongue: English
Weight: 364 KB
Volume: 16
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190160104

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A marked graph is obtained from a graph by giving each point either a positive or a negative sign. Beineke and Harary raised the problem of characterzing consistent marked graphs in which the product of the signs of the points is positive for every cycle. In this paper a characterization is given in terms of fundamental cycles of a cycle basis.

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