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Physical Sciences and Mathematics Commons

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Discrete Mathematics and Combinatorics

Math Theses

Graph theory

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Behavior Of Petrie Lines In Certain Edge-Transitive Graphs, Ruby A. Chick Jul 2017

Behavior Of Petrie Lines In Certain Edge-Transitive Graphs, Ruby A. Chick

Math Theses

We survey the construction and classification of one-, two- and infinitely-ended members of a class of highly symmetric, highly connected infinite graphs. In addition, we pose a conjecture concerning the relationship between the Petrie lines and ends of some infinitely-ended members of this class.