Properties of the Line Graph and Total Graph Operators

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.https://ecommons.udayton.edu/stander_posters/2813/thumbnail.jp