Main Article Content

Abstract

Let G be a (p, q)-graph in which the edges are labeled 1, 2, . . . , q. The vertex sum for a vertex v is the sum of the labels of the incident edges at v. If the vertex sums are constant, modulo k, where k>= 2, then G is said to be Mod(k)-edge-magic. When k = p, Mod(p)-edge-magic graph is the edge-magic graph which was introduced by the Lee, Seah and Tan in [9]. In this paper we investigate graphs which are Mod(3)-edge-magic.

DOI : http://dx.doi.org/10.22342/jims.0.0.81.

Keywords

Mod(k)-edge-magic trees cubic graphs generalized Petersen graphs.

Article Details

How to Cite
Lee, S.-M., Schaffer, K., Su, H.-H., & Wang, Y.-C. (2012). ON MOD(3)-EDGE-MAGIC GRAPHS. Journal of the Indonesian Mathematical Society. https://doi.org/10.22342/jims.0.0.81.