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Circle Graph Obstructions

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Lee_Edward.pdf (530.32 KB)

Date

2017-08-31

Authors

Lee, Edward

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Volume Title

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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Citation

URI

http://hdl.handle.net/10012/12309

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Theses
Combinatorics and Optimization