Date of Award

2013

Degree Type

Thesis

Degree Name

Honors Thesis

Department

Mathematics

First Advisor

Prem Sharma

Abstract

The goal of this thesis is to study two related problems that, in the broadest terms, lie in a branch of mathematics called graph theory. The first problem examines some new techniques for constructing a Hamilton graph of least possible order and having a preassigned girth, and the second concerns the enumeration of a certain type of graphs called trees.

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