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A note on non-isomorphic edge-color classes in random graphs
classification
math.CO
keywords
classesgraphrandombehaviorclassicalcolorcolorsedge-color
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For a graph $G$, let $\tau(G)$ be the maximum number of colors such that there exists an edge-coloring of $G$ with no two color classes being isomorphic. We investigate the behavior of $\tau(G)$ when $G=G(n, p)$ is the classical Erd\H{o}s-R\'enyi random graph.
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