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

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Title:	Bi-magic and other generalizations of super edge-magic labelings
Author:	López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Rius Font, Miquel
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV; Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
Abstract:	In this paper, we use the product ⊗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 ⊗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 generalized 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.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències -Applied mathematics -Super edge-magic Bi-magic k-equitable -Matemàtica aplicada -- Revistes -Classificació AMS::05 Combinatorics::05C Graph theory
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Document type:	Article - Published version Article
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