Excluding Two Minors of the Petersen Graph

In this dissertation, we begin with a brief survey of the Petersen graph and its role in graph theory. We will then develop an alternative decomposition to clique sums for 3-connected graphs, called T-sums. This decomposition will be used in Chapter 2 to completely characterize those graphs which ha...

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Bibliographic Details
Main Author: Ferguson, Adam Beau
Other Authors: Oxley, James
Format: Others
Language:en
Published: LSU 2015
Subjects:
Online Access:http://etd.lsu.edu/docs/available/etd-03162015-155318/