Title
Negative Circles in Signed Graphs: A Problem Collection.
Abstract
I propose that most problems about circles (cycles, circuits) in ordinary graphs that have odd or even length find their proper setting in the theory of signed graphs, where each edge has a sign, + or −. Even-circle and odd-circle problems correspond to questions about positive and negative circles in signed graphs. (The sign of a circle is the product of its edge signs.) I outline questions about circles in signed graphs, that seem natural and potentially important.
Year
DOI
Venue
2017
10.1016/j.endm.2017.10.060
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
Signed graph,negative circle,positive circle,negative cycle,positive cycle,graph decomposition,counting negative circles,frustration index,frustration number
Discrete mathematics,Graph,Indifference graph,Combinatorics,Mathematics
Journal
Volume
ISSN
Citations 
63
1571-0653
0
PageRank 
References 
Authors
0.34
6
1
Name
Order
Citations
PageRank
T. Zaslavsky129756.67