ON MOD(3)-EDGE-MAGIC GRAPHS

Sin-Min Lee, Karl Schaffer, Hsin-Hao Su, Yung-Chin Wang

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.



DOI: https://doi.org/10.22342/jims.0.0.81.

Refbacks

  • There are currently no refbacks.



Journal of the Indonesian Mathematical Society
Mathematics Department, Universitas Gadjah Mada
Senolowo, Sinduadi, Mlati, Sleman Regency, Special Region of Yogyakarta 55281, Telp. (0274) 552243
Email: jims.indoms@gmail.com


p-ISSN: 2086-8952 | e-ISSN: 2460-0245


Journal of the Indonesian Mathematical Society is licensed under a Creative Commons Attribution 4.0 International License

web statistics
View My Stats