Date of Award

2019

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

Committee Chair

Guo-Hui Zhang

Committee Member

Boris I. Kunin

Committee Member

Shangbing Ai

Subject(s)

Graph theory

Abstract

Using conventional definitions regarding graphs, isomorphisms, and vertex neighborhoods, we say that G is a H-local graph when the subgraph induced by any open vertex neighborhood in G is isomorphic to the graph H. The twofold purpose of this thesis is to give a brief survey regarding some results in the field of local graphs and to show that there exists a unique graph which is locally Mobius ladder.

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