Title of Presentation or Performance

Nowhere-zero group irregular labelings of graphs

Presenter and Advisor Information

Yutong Li, Illinois Wesleyan University

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 Zk-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 Zk-antimagic labelings of graphs.

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Apr 13th, 9:00 AM Apr 13th, 10:00 AM

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 Zk-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 Zk-antimagic labelings of graphs.