Orderings on graphs and game coloring number

作者: H. A. Kierstead , Daqing Yang

DOI: 10.1023/B:ORDE.0000026489.93166.CB

关键词: List coloringGreedy coloringEdge coloringFractional coloringGraph coloringGraph powerGraph homomorphismDiscrete mathematicsComparability graphMathematics

摘要: Many graph theoretic algorithms rely on an initial ordering of the vertices which has some special properties. We discuss new ways to measure quality such orders, give methods for constructing high and provide applications these orders. While our main motivation is study game chromatic number, there have been other ideas we expect will be more.

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