TY - JOUR T1 - Doubly Connected Geodetic Number on Operations in Graphs AU - Bhavyavenu, K.L. AU - M. Goudar, Venkanagouda JO - Journal of Engineering and Applied Sciences VL - 13 IS - 12 SP - 4330 EP - 4335 PY - 2018 DA - 2001/08/19 SN - 1816-949x DO - jeasci.2018.4330.4335 UR - https://makhillpublications.co/view-article.php?doi=jeasci.2018.4330.4335 KW - connected geodetic KW -Cartesian product KW -geodetic number KW -strong product KW -join KW -composition KW -minimum cardinality KW -doubly connected AB - In this study, we study the concept of doubly connected geodetic number of a graph. A set SfV in a graph G is a Doubly Connected Geodetic Set [DCGS] if S is a geodetic set and both induced subgraphs < S > and < V-S > are connected. The minimum cardinality of a doubly connected geodetic set and it is denoted by gdc (G) is called doubly connected geodetic number of a graph G. A doubly connected geodetic set of cardinality gdc (G) is called gdc (G)-set. We determine the doubly connected geodetic number in cartesian product, strong product, join of two graphs ER -