Honors Theses

Date of Award


Document Type

Undergraduate Thesis



First Advisor

Sandra Spiroff

Relational Format



We study the zero divisor graphs, determined by equivalence classes of zero divisors of a ring R. with exactly five vertices. In particular, we determine which graphs with exactly five vertices can be realized as the zero divisor graph of a ring. We provide rings for the graphs which are possible, and prove that the rest of graphs can not be realized via any commutative ring. There are thirty-four graphs in total which contain exactly five vertices.

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