Abstract | ||
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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 |
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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 |
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T. Zaslavsky | 1 | 297 | 56.67 |