2016arXiv (Cornell University)Open access

Vertex Colorings without Rainbow or Monochromatic Subgraphs

Wayne Goddard, Honghai Xu

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Abstract

This paper investigates vertex colorings of graphs such that some rainbow subgraph~$R$ and some monochromatic subgraph $M$ are forbidden. Previous work focussed on the case that $R=M$. Here we consider the more general case, especially the case that $M=K_2$.

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What this paper is about

This paper investigates vertex colorings of graphs such that some rainbow subgraph~$R$ and some monochromatic subgraph $M$ are forbidden. Previous work focussed on the case that $R=M$. Here we consider the more general case, especially the case that $M=K_2$.

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Available abstract

This paper investigates vertex colorings of graphs such that some rainbow subgraph~$R$ and some monochromatic subgraph $M$ are forbidden. Previous work focussed on the case that $R=M$. Here we consider the more general case, especially the case that $M=K_2$.

Key concepts: Rainbow, Monochromatic color, Combinatorics, Vertex (graph theory), Mathematics, Graph, Discrete mathematics, Physics

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