Opuscula Math. 28, no. 3 (2008), 279-285

 
Opuscula Mathematica

Strong geodomination in graphs

Nader Jafari Rad
Doost Ali Mojdeh

Abstract. A pair \(x\), \(y\) of vertices in a nontrivial connected graph \(G\) is said to geodominate a vertex \(v\) of \(G\) if either \(v \in \{x, y\}\) or \(v\) lies in an \(x - y\) geodesic of \(G\). A set \(S\) of vertices of \(G\) is a geodominating set if every vertex of \(G\) is geodominated by some pair of vertices of \(S\). In this paper we study strong geodomination in a graph \(G\).

Keywords: geodomination, \(k\)-geodomination, open geodomination.

Mathematics Subject Classification: 05C12, 05C70.

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Nader Jafari Rad, Doost Ali Mojdeh, Strong geodomination in graphs, Opuscula Math. 28, no. 3 (2008), 279-285

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