#### Title of Presentation or Performance

Nowhere-zero group irregular labelings of graphs

#### Type of Submission (Archival)

Event

#### Faculty Advisor

Dan Roberts

#### Expected Graduation Date

2021

#### Location

Center for Natural Sciences, Illinois Wesleyan University

#### Start Date

4-13-2019 9:00 AM

#### End Date

4-13-2019 10:00 AM

#### Disciplines

Education

#### Abstract

A labeling of graph is an assignment of values to its edges, vertices, or both. A Z_{k}-antimagic labeling of a graph is a labeling of the edges, where permissible values are from the set {1,2,3,…,k-1}, and the sum of all edges at a vertex is different from the sum at each of the other vertices. We study a similar structure in group theory that can be used to obtain Z_{k}-antimagic labelings of graphs.

Nowhere-zero group irregular labelings of graphs

Center for Natural Sciences, Illinois Wesleyan University

A labeling of graph is an assignment of values to its edges, vertices, or both. A Z_{k}-antimagic labeling of a graph is a labeling of the edges, where permissible values are from the set {1,2,3,…,k-1}, and the sum of all edges at a vertex is different from the sum at each of the other vertices. We study a similar structure in group theory that can be used to obtain Z_{k}-antimagic labelings of graphs.