Abstract | ||
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We show that a maximal triangle-free graph on n vertices with minimum degree delta contains an independent set of 3delta - n vertices which have identical neighborhoods. This yields a simple proof that if the binding number of a graph is at least 3/2 then it has a triangle. This was conjectured originally by Woodall. (C) 1993 John Wiley & Sons, Inc. |
Year | DOI | Venue |
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1993 | 10.1002/jgt.3190170510 | Journal of Graph Theory |
Keywords | DocType | Volume |
maximal triangle-free graph | Journal | 17 |
Issue | ISSN | Citations |
5 | 0364-9024 | 6 |
PageRank | References | Authors |
0.87 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Wayne Goddard | 1 | 115 | 15.40 |
Daniel J. Kleitman | 2 | 854 | 277.98 |