Extremal Functions for Contractions of Graphs

In this dissertation, a problem related to Hadwiger's conjecture has been studied. We first proved a conjecture of Jakobsen from 1983 which states that every simple graphs on $n$ vertices and at least (11n-35)/2 edges either has a minor isomorphic to K_8 with one edge deleted or is isomorphic t...

Full description

Bibliographic Details
Main Author: Song, Zixia
Format: Others
Language:en_US
Published: Georgia Institute of Technology 2005
Subjects:
Online Access:http://hdl.handle.net/1853/6425