Jason Gillespie

Document Type

Honors Project

First Advisor

Jon Dellett

Degree Award Date

Spring 1998


Infinite Graph Theory, Planarity, Reconciliation


Geometry and Topology | Mathematics


In my previous studies, I analyzed many of the theories and uses for finite graph theory. In this paper I will expand those concepts to include graphs of infinite nature. First it is necessary to present many of these topics in finite graph theory for the sake of understanding the nomenclature. Of most import are graphs that are planar, and those that can be reconciled to planar graphs. This paper will give the necessary and sufficient conditions for a graph to be reconcilable.