Circle Graph Obstructions

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Date

2017-08-31

Authors

Lee, Edward

Advisor

Geelen, Jim

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Publisher

University of Waterloo

Abstract

In this thesis we present a self-contained proof of Bouchet’s characterization of the class of circle graphs. The proof uses signed graphs and is analogous to Gerards’ graphic proof of Tutte’s excluded-minor characterization of the class of graphic matroids.

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Keywords

Circle Graphs, Structural Graph Theory, Graph Theory, Vertex Minors

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