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Antimagicness of subdivided fans

Journal of Mass Spectrometry(2020)

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摘要
A graph \(\Gamma\) (simple, finite, undirected) with an \(\Omega\)-covering has an \((\alpha,\delta)\)-\(\Omega\)-antimagic labeling if the weights of all subgraphs \(\Omega\) of graph \(\Gamma\) constitute an arithmetic progression with the common difference \(\delta\). Such a~graph is called super \((\alpha,\delta)\)-\(\Omega\)-antimagic if \(\nu(V(\Gamma))= \{ 1,2,3,\dots,|V(\Gamma)|\}\). In the present paper, the cycle coverings of subdivision of fan graphs has been considered and results are proved for several differences.
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关键词
\(\omega\)-covering,super \((\alpha,\delta)\)-\(\omega\)-antimagic graph,cycle-antimagic,super cycle-antimagic,fan graphs.
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