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Sin-Min Lee
San Jose State University
Mathematics

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ON MOD(3)-EDGE-MAGIC GRAPHS Lee, Sin-Min; Schaffer, Karl; Su, Hsin-Hao; Wang, Yung-Chin
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.81.

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.
ON THE EDGE-BALANCED INDEX SETS OF PRODUCT GRAPHS Krop, Elliot; Lee, Sin-Min; Raridan, Christopher
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.20.71-78

Abstract

We characterize strongly edge regular product graphs and find the edge-balanced index sets of complete bipartite graphs without a perfect matching, the direct product Ksubn/sub X Ksub2/sub. We also prove a lemma that is helpful to determine theedge-balanced index sets of regular graphs.DOI : http://dx.doi.org/10.22342/jims.0.0.20.71-78
Co-Authors Christopher Raridan Elliot Krop Hsin-Hao Su Karl Schaffer Yung-Chin Wang