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International Journal of Mathematics and Mathematical Sciences
Volume 2017, Article ID 5104701, 4 pages
Research Article

Star-Supermagic Decompositions of the Complete Bipartite Graph Minus a One-Factor

1Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Pracharat 1 Rd., Bangkok 10800, Thailand
2Department of Mathematics, Faculty of Science, Srinakharinwirot University, Bangkok 10110, Thailand

Correspondence should be addressed to Tanawat Wichianpaisarn;

Received 23 March 2017; Accepted 30 May 2017; Published 21 June 2017

Academic Editor: Dalibor Froncek

Copyright © 2017 Tanawat Wichianpaisarn and Uthoomporn Mato. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let be a graph and let be a subgraph of . Assume that has an -decomposition such that for all . An -supermagic decomposition of is a bijection such that is a constant for each in the decomposition and . If admits an -supermagic decomposition, then is called -supermagic decomposable. In this paper, we give necessary and sufficient conditions for the existence of -supermagic decomposition of the complete bipartite graph minus a one-factor.