Antimagicness of subdivided fans
Autor: | Abdul Raheem, Muhammad Awais Umar, Muzamil Perveen, Afshan Tabassum |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: | |
Zdroj: | Open Journal of Mathematical Sciences, Vol 4, Iss 1, Pp 18-22 (2020) |
ISSN: | 2523-0212 2616-4906 |
Popis: | 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. |
Databáze: | OpenAIRE |
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