Date of Award


Document Type


Degree Name

Master of Science (MS)


Mathematical Sciences

Committee Chair

Guo-Hui Zhang

Committee Member

Boris I. Kunin

Committee Member

Shangbing Ai


Graph theory.


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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