Antimagicness of subdivided fans

Autor: Abdul Raheem, Muhammad Awais Umar, Muzamil Perveen, Afshan Tabassum
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