Abstract | ||
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We show some consequences of results of Gallai concerning edge colorings of complete graphs that contain no tricolored triangles. We prove two conjectures of Bialostocki and Voxman about the existence of special monochromatic spanning trees in such colorings. We also determine the size of largest monochromatic stars guaranteed to occur. © 2004 Wiley Periodicals, Inc. J Graph Theory 46: 211–216, 2004 |
Year | DOI | Venue |
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2004 | 10.1002/jgt.v46:3 | Journal of Graph Theory |
Field | DocType | Volume |
Ramsey theory,Graph theory,Discrete mathematics,Graph,Topology,Monochromatic color,Combinatorics,Spanning tree,Greedy coloring,Mathematics | Journal | 46 |
Issue | Citations | PageRank |
3 | 32 | 2.50 |
References | Authors | |
4 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
András Gyárfás | 1 | 582 | 102.26 |
Gábor Simonyi | 2 | 249 | 29.78 |