Totally magic graphs

Document Type

Article

Publication Date

6-10-2002

Abstract

A total labeling of a graph with v vertices and e edges is defined as a one-to-one map taking the vertices and edges onto the integers 1,2,...,v + e. Such a labeling is vertex magic if the sum of the label on a vertex and the labels on its incident edges is a constant independent of the choice of vertex, and edge magic if the sum of an edge label and the labels of the endpoints of the edge is constant. In this paper we examine graphs possessing a labeling that is simultaneously vertex magic and edge magic. Such graphs appear to be rare. © 2002 Elsevier Science B.V. All rights reserved.

Publication Title

Discrete Mathematics

Share

COinS