Clique Vertex Magic Cover of a Graph |
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Authors: | K A Sugeng J Ryan |
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Institution: | 1. Department of Mathematics, Faculty of Mathematics and Sciences, University of Indonesia, Depok, 16424, Indonesia 2. School of Electrical Engineering and Computer Science, University of Newcastle, Newcastle, NSW, 2308, Australia
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Abstract: | Let G admit an H-edge covering and f : V èE ? {1,2,?,n+e}{f : V \cup E \to \{1,2,\ldots,n+e\}} be a bijective mapping for G then f is called H-edge magic total labeling of G if there is a positive integer constant m(f) such that each subgraph H
i
, i = 1, . . . , r of G is isomorphic to H and f(Hi)=f(H)=Sv ? V(Hi)f(v)+Se ? E(Hi) f(e)=m(f){f(H_i)=f(H)=\Sigma_{v \in V(H_i)}f(v)+\Sigma_{e \in E(H_i)} f(e)=m(f)}. In this paper we define a subgraph-vertex magic cover of a graph and give some construction of some families of graphs that admit this property. We show the construction of some
C
n
- vertex magic covered and clique magic covered graphs. |
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