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On Monochromatic Subgraphs of Edge-Colored Complete Graphs

Eric AndrewsFutaba FujieKyle KolasinskiChira LumduanhomAdam Yusko — 2014

Discussiones Mathematicae Graph Theory

In a red-blue coloring of a nonempty graph, every edge is colored red or blue. If the resulting edge-colored graph contains a nonempty subgraph G without isolated vertices every edge of which is colored the same, then G is said to be monochromatic. For two nonempty graphs G and H without isolated vertices, the mono- chromatic Ramsey number mr(G,H) of G and H is the minimum integer n such that every red-blue coloring of Kn results in a monochromatic G or a monochromatic H. Thus, the standard Ramsey...

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