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Applied Mathematics

Western Michigan University

Graphs

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Full-Text Articles in Mathematics

Edge Colorings Of Graphs And Their Applications, Daniel Johnston Jun 2015

Edge Colorings Of Graphs And Their Applications, Daniel Johnston

Dissertations

Edge colorings have appeared in a variety of contexts in graph theory. In this work, we study problems occurring in three separate settings of edge colorings.

For more than a quarter century, edge colorings have been studied that induce vertex colorings in some manner. One research topic we investigate concerns edge colorings belonging to this class of problems. By a twin edge coloring of a graph G is meant a proper edge coloring of G whose colors come from the integers modulo k that induce a proper vertex coloring in which the color of a vertex is the sum of …


On Eulerian Irregularity And Decompositions In Graphs, Eric Andrews Jun 2014

On Eulerian Irregularity And Decompositions In Graphs, Eric Andrews

Dissertations

Abstract attached as separate file.