star-supermagic decompositions of the complete bipartite graph minus a one-factor
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2017
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Abstract
Let G be a graph and let H be a subgraph of G. Assume that G has an H-decomposition T={H1,H2,…,Ht} such that Hi≅H for all 1≤i≤t. An H-supermagic decomposition of G is a bijection f:V(G)∪E(G)→1,2,…,VG+EG such that ∑v∈V(Hi)f(v)+∑e∈E(Hi)f(e) is a constant k for each Hi in the decomposition T and fVG=1,2,…,VG. If G admits an H-supermagic decomposition, then G is called H-supermagic decomposable. In this paper, we give necessary and sufficient conditions for the existence of K1,n-1-supermagic decomposition of the complete bipartite graph Kn,n minus a one-factor.
| Reference Key |
wichianpaisarn2017internationalstar-supermagic
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|---|---|
| Authors | ;Tanawat Wichianpaisarn;Uthoomporn Mato |
| Journal | structural engineering and mechanics |
| Year | 2017 |
| DOI |
10.1155/2017/5104701
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| URL | |
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