2011•VCU Scholars Compass (Virginia Commonwealth University)Open access

On List-Coloring and the Sum List Chromatic Number of Graphs.

Coleman Hall

Abstract

This thesis explores several of the major results in list-coloring in an expository fashion. As a specialization of list coloring, the sum list chromatic number is explored in detail. Ultimately, the thesis is designed to motivate the discussion of coloring problems and, hopefully, interest the reader in the branch of coloring problems in graph theory.

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Available abstract

Key concepts: Combinatorics, List coloring, Brooks' theorem, Mathematics, Graph coloring, Discrete mathematics, Edge coloring, Fractional coloring