# Nowhere-zero group irregular labelings of graphs

## Submission Type

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.