대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제30권3호
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  • Pages.313-325
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  • 2015
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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H-V -SUPER MAGIC DECOMPOSITION OF COMPLETE BIPARTITE GRAPHS

  • 투고 : 2015.03.18
  • 발행 : 2015.06.30
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초록

An H-magic labeling in a H-decomposable graph G is a bijection $f:V(G){\cup}E(G){\rightarrow}\{1,2,{\cdots},p+q\}$ such that for every copy H in the decomposition, $\sum{_{{\upsilon}{\in}V(H)}}\;f(v)+\sum{_{e{\in}E(H)}}\;f(e)$ is constant. f is said to be H-V -super magic if f(V(G))={1,2,...,p}. In this paper, we prove that complete bipartite graphs $K_{n,n}$ are H-V -super magic decomposable where $$H{\sim_=}K_{1,n}$$ with $n{\geq}1$.

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참고문헌

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