Hamiltonicity and Structure of Classes of Minor-Free Graphs

The main results of this dissertation are Hamiltonicity and structural results for graphs on surfaces and graphs with certain forbidden minors. The first result is related to a conjecture due to Grunbaum and Nash-Williams which states that all 4-connected graphs on the torus are Hamiltonian. One app...

Full description

Bibliographic Details
Main Author: Marshall, Emily Abernethy
Other Authors: Xiaoya Zha
Format: Others
Language:en
Published: VANDERBILT 2014
Subjects:
Online Access:http://etd.library.vanderbilt.edu/available/etd-03212014-152116/