Expanding Super Edge-Magic Graphs∗
| Main Authors: | Baskoro, E. T.; Department of Mathematics, Institut Teknologi Bandung Jl. Ganesa 10 Bandung 40132, Indonesia, Cholily, Y. M.; Department of Mathematics, Universitas Muhammadiyah Malang Jl. Tlogomas 246 Malang 65144, Indonesia |
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| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
ITB Journal Publisher, LPPM ITB
, 2013
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| Subjects: | |
| Online Access: |
http://journals.itb.ac.id/index.php/jmfs/article/view/273 http://journals.itb.ac.id/index.php/jmfs/article/view/273/256 |
Daftar Isi:
- 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.