ON MOD(3)-EDGE-MAGIC GRAPHS

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

doi:10.22342/jims.0.0.81.

Sin-Min Lee ⁽¹⁾ , Karl Schaffer ⁽²⁾ , Hsin-Hao Su ⁽³⁾ , Yung-Chin Wang ⁽⁴⁾

(1) Department of Computer Science, San Jose State University, San Jose, CA, United States,

(2) Department of Mathematics, De Anza College, Cupertino, CA, United States,

(3) Department of Mathematics, Stonehill College, Easton, MA 02357, USA, United States,

(4) Department of Digital Media Design, Tzu-Hui Institute of Technology, Taiwan, Republic of China, China

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

Issue
Special Edition, Year 2011

Submitted
May 29, 2012

Accepted
May 29, 2012

Published
May 29, 2012

Keywords:

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

No galleys available

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.

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Authors

Sin-Min Lee

Department of Computer Science, San Jose State University, San Jose, CA

penulis@jims-a.org (Primary Contact)

Karl Schaffer

Department of Mathematics, De Anza College, Cupertino, CA

Hsin-Hao Su

Department of Mathematics, Stonehill College, Easton, MA 02357, USA

Yung-Chin Wang

Department of Digital Media Design, Tzu-Hui Institute of Technology, Taiwan, Republic of China

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.