ON HOP DOMINATION NUMBER OF SOME GENERALIZED GRAPH STRUCTURES

A subset \( H \subseteq V (G) \) of a graph \(G\) is a hop dominating set (HDS) if for every \({v\in (V\setminus H)}\) there is at least one vertex  \(u\in H\) such that \(d(u,v)=2\).  The minimum cardinality of a hop dominating set of \(G\) is called the hop domination number of \(G\) and is denote...

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Bibliographic Details
Main Authors: S. Shanmugavelan, C. Natarajan
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2021-12-01
Series:Ural Mathematical Journal
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Online Access:https://umjuran.ru/index.php/umj/article/view/399
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