Bi-magic and other generalizations of super edge-magic labelings

Authors

  • Susana Clara Lopez
  • Francesc Antoni Muntaner-Batle
  • Miquel Rius-Font

Keywords:

super edge-magic, bi-magic, k-equitable

Abstract

In this paper, we use the product $\bigotimes_h$ in order to study super edge-magic labelings, bi-magic labelings and optimal $k$-equitable labelings. We establish, with the help of the product $\bigotimes_h$, new relations between super edge-magic labelings and optimal $k$-equitable labelings and between super edge-magic labelings and edge bi-magic labelings. We also introduce new families of graphs that are inspired by the family of Generalised Petersen graphs. The concepts of super bi-magic and $r$-magic labelings are also introduced and discussed, and open problems are proposed for future research.

Published

2011-10-19

Issue

Vol. 84 No. 1 (2011)

Section

Articles
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