ON DOUBLE SIGNAL NUMBER OF A GRAPH

A set \(S\) of vertices in a connected graph \(G=(V,E)\) is called signal if every vertex not lies on path between two from \(S\). double \(G\) for each pair \(x,y \in G\) there exist \(u,v S\) such that L[u,v]\). The number \(\mathrm{dsn}\,(G)\) the minimum cardinality set. Any \(\mathrm{dsn}\)-set \(G\). In this paper we introduce and initiate some properties graph. We have also given relation geodetic number, classes graphs.