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Physical Sciences and Mathematics Commons

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Mathematics

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Virginia Commonwealth University

Theses/Dissertations

2018

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3-Maps And Their Generalizations, Kevin J. Mccall Jan 2018

3-Maps And Their Generalizations, Kevin J. Mccall

Theses and Dissertations

A 3-map is a 3-region colorable map. They have been studied by Craft and White in their paper 3-maps. This thesis introduces topological graph theory and then investigates 3-maps in detail, including examples, special types of 3-maps, the use of 3-maps to find the genus of special graphs, and a generalization known as n-maps.