Gamma-Supermagic Labeling The Products of Two Cycles

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Gamma-Supermagic Labeling The Products of Two Cycles

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Sorensen, Lincoln

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2020-08

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Thesis or Dissertation

Abstract

A $\Gamma$-supermagic group edge labeling of a graph $G(V,E)$ with $|E|=g$ is an injection from $E$ to an Abelian group of order $g$ such that the sum of labels of all incident edges of every vertex $v \in V$ is equal to the same element $\gamma \in \Gamma$. We develop methods for labeling the products of two cycles $C_m \square C_n$ using a variety of external direct products of Abelian groups.

Keywords

Abstract Algebra

Gamma

Graph Theory

Graphs

Labeling

Supermagic

Description

University of Minnesota M.S. thesis.August 2020. Major: Mathematics. Advisor: Dalibor Froncek. 1 computer file (PDF); iii, 34 pages.

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Sorensen, Lincoln. (2020). Gamma-Supermagic Labeling The Products of Two Cycles. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/216741.

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