McKeown, Michael A2017-07-252017-07-252017-05https://hdl.handle.net/11299/189084A project submitted to the faculty of the graduate school of the University of Minnesota in partial fulfillment of the requirements for the degree of Master of Science. May 2017. Major: Mathematics and Statistics. Advisor: Dalibor Froncek. 1 computer file (PDF); vi, 46 pages, appendix A, Ill. (some col.)A vertex-magic group edge labeling of a graph G(V;E) with |E| = n is an injection from E to an abelian group ᴦ of order n such that the sum of labels of all incident edges of every vertex x ϵ V is equal to the same element µ ϵ ᴦ. We completely characterize all Cartesian products Cn□Cm that admit a vertex-magic group edge labeling by Z2nm, as well as provide labelings by a few other finite abelian groups.enVertex-magic groupCartesian productsEdge labelingAbelian groupsCyclic groupSwenson College of Science and EngineeringDepartment of Mathematics and StatisticsMaster of ScienceUniversity of Minnesota DuluthMaster of Science in Applied and Computational MathematicsPlan Bs (project-based master's degrees)Scholarly Text or Essay