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

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  • Tanawat Wichianpaisarn
  • Uthoomporn Mato

Abstract

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.

Suggested Citation

  • Tanawat Wichianpaisarn & Uthoomporn Mato, 2017. "Star-Supermagic Decompositions of the Complete Bipartite Graph Minus a One-Factor," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2017, pages 1-4, June.
    • Handle: RePEc:hin:jijmms:5104701
    DOI: 10.1155/2017/5104701
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