2008•arXiv (Cornell University)Open access

Partial profiles of quasi-complete graphs

Pedro Lopes

Abstract

We enumerate graph homomorphisms to quasi-complete graphs, i.e., graphs obtained from complete graphs by removing one edge. The source graphs are complete graphs, quasi-complete graphs, cycles, paths, wheels and broken wheels. These enumerations give rise to sequences of integers with two indices; one of the indices is the number of vertices of the source graph, and the other index is the number of vertices of the target graph.

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Key concepts: Combinatorics, Chordal graph, Indifference graph, 1-planar graph, Graph homomorphism, Mathematics, Pathwidth, Pancyclic graph