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E. T. Baskoro
Department of Mathematics, Institut Teknologi Bandung Jl. Ganesa 10 Bandung 40132, Indonesia
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Expanding Super Edge-Magic Graphs∗ E. T. Baskoro; Y. M. Cholily
Journal of Mathematical and Fundamental Sciences Vol. 36 No. 2 (2004)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2004.36.2.2

Abstract

For a graph G, with the vertex set V(G) and the edge set E(G) an edge-magic total labeling is a bijection f from V(G)UE(G) to the set of integers {1,2,...., |V(G)|+|E(G)} with the property that f(u) + f(v) +f(uv) = k for each uv elemen E(G) and for a fixed integer k. An edge-magic total labeling f is called super edge-magic total labeling if f(E(G)) = {|V(G)+1, |V(G)+2,....., |V(G)+E(G)|}. In this paper we construct the expanded super edge-magic total graphs from cycles C, generalized Petersen graphs and generalized prisms.
Co-Authors Yus Mochamad Cholily