BI-MAGIC AND OTHER GENERALIZATIONS OF SUPER EDGE-MAGIC LABELINGS
Susana-Clara López, Francesc-Antoni Muntaner-Batle, Miquel Rius–Font · Bulletin of the Australian Mathematical Society · 2011
Abstract In this paper, we use the product ⊗hin order to study super edge-magic labelings, bi-magic labelings and optimalk-equitable labelings. We establish, with the help of the product ⊗h, new relations between super edge-magic labelings and optimalk-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 generalized Petersen graphs. The concepts of super bi-magic andr-magic labelings are also introduced and discussed, and open problems are proposed for future research.