Double Geodetic Number of a Line Graph.

Any line graph L(G), the vertices correspond to the edges of G(V, E) and two vertices in L(G) are adjacent if and only if the corresponding edges in G are adjacent". "If there are vertices u, v in x, y such that dg, G -[G,-] for any pair of vertices S, G in G, then the set G of vertices of f is said to be a double geodetic set of The lowest cardinality of a double geodetic set is represented by the double geodetic number. In this study, we determine double geodetic number of several line graphs. [ABSTRACT FROM AUTHOR]