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 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.
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.