Semi-Direct Product of Edge Colored Graphs

Document Type

Thesis

Publication Date

2005

Disciplines

Mathematics | Physical Sciences and Mathematics

Advisor

Thomas Sibley, Mathematics

Abstract

A distance can be defined on a complete graph, called an edge colored graph. Edge colored graphs have many properties; however, this paper is mostly concerned with homogeneity and algebraic properties of edge colored graphs. This paper defines a semi-direct product of graphs, similar to a semi-direct product of groups. A semi-direct product of graphs is based upon similarities of the graphs that compose it. This paper also investigates the homogeneity of the semi-direct product, and the groups of isometries of semi-direct products in certain cases.

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