Color-critical graphs on surfaces

A graph is (t+1)-critical if it is not t-colorable, but every proper subgraph is. In this thesis, we study the structure of critical graphs on higher surfaces. One major result in this area is Carsten Thomassen's proof that there are finitely many 6-critical graphs on a fixed surface. This p...

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Bibliographic Details
Main Author: Yerger, Carl Roger, Jr.
Published: Georgia Institute of Technology 2011
Subjects:
Online Access:http://hdl.handle.net/1853/37197