Properties of the Line Graph and Total Graph Operators

Authors

Presenter(s)

Preston Reed Boorsma

Files

Description

This is a MTH 480 capstone project. A graph is a mathematical object that consists of two sets, a set of vertices and a set of edges. An edge joins two vertices and depicts a relationship between those vertices. This project investigates properties preserved and generated by the line graph and total graph operators on graphs. We explore the effects of these operators on Hamiltonian, Eulerian, and pancyclic structures of graphs.

Publication Date

4-22-2020

Project Designation

Capstone Project

Primary Advisor

Aparna W. Higgins

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project, College of Arts and Sciences

Recommended Citation

"Properties of the Line Graph and Total Graph Operators" (2020). Stander Symposium Projects. 1812.
https://ecommons.udayton.edu/stander_posters/1812