A new distribution problem of balls into urns, and how to color a graph by different-sized sets

Thomas Zaslavsky

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arXiv · math/0609049

A new distribution problem of balls into urns, and how to color a graph by different-sized sets

Thomas Zaslavsky

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Abstract

Set-coloring a graph means giving each vertex a subset of a fixed color set so that no two adjacent subsets have the same cardinality. When the graph is complete one gets a new distribution problem with an interesting generating function. We explore examples and generalizations.

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Thomas Zaslavsky. 2006-09-01. A new distribution problem of balls into urns, and how to color a graph by different-sized sets. https://arxiv.org/abs/math/0609049

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