Figueroa-Centeno, R. M.; Ichishima, R.; Muntaner-Batle, F. A. On the super edge-magic deficiency of graphs. (English) Zbl 1164.05445 Ars Comb. 78, 33-45 (2006). A graph \(G\) with \(p\) vertices and \(q\) edges is called edge-magic if there exists a bijective function \(f\: V(G)\cup E(G) \to \{1,2,\dots ,p+q\}\) such that \(f(u) + f(v) + f(uv) = k\) is a constant for any edge \(uv\in E(G)\). Moreover, \(G\) is said to be super edge-magic if \(f(V(G)) = \{1,2,\dots ,p\}\). The question studied in this paper is for which graphs it is possible to add a finite number of isolated vertices so that the resulting graph is super edge-magic. Reviewer: Tomáš Kaiser (Plzeň) Cited in 2 ReviewsCited in 11 Documents MSC: 05C78 Graph labelling (graceful graphs, bandwidth, etc.) Keywords:edge-magic labelling; super edge-magic labelling PDFBibTeX XMLCite \textit{R. M. Figueroa-Centeno} et al., Ars Comb. 78, 33--45 (2006; Zbl 1164.05445)