A Characterization of Almost All Minimal not Nearly Planar Graphs

In this dissertation, we study nearly planar graphs, that is, graphs that are edgeless or have an edge whose deletion results in a planar graph. We show that all but finitely many graphs that are not nearly planar and do not contain one particular graph have a well-understood structure based on larg...

Full description

Bibliographic Details
Main Author: Choi, Kwang Ju
Other Authors: Rau, A. Ravi P.
Format: Others
Language:en
Published: LSU 2013
Subjects:
Online Access:http://etd.lsu.edu/docs/available/etd-07082013-134001/
Description
Summary:In this dissertation, we study nearly planar graphs, that is, graphs that are edgeless or have an edge whose deletion results in a planar graph. We show that all but finitely many graphs that are not nearly planar and do not contain one particular graph have a well-understood structure based on large Möbius ladders.