WORM colorings Forbidding Cycles or Cliques
نویسندگان
چکیده
Given a coloring of the vertices, we say subgraph H is monochromatic if every vertex of H is assigned the same color, and rainbow if no pair of vertices of H are assigned the same color. Given a graph G and a forbidden graph F , we define an F -WORM coloring of G as a coloring of the vertices if G without a rainbow or monochromatic subgraph isomorphic to F . We explore such colorings especially as regards to the existence, complexity, and optimization within certain graph classes. Our focus is on the case that F is a cycle or a complete graph.
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