K.L.  Bhavyavenu, Venkanagouda  M. Goudar, 
    Doubly Connected Geodetic Number on Operations in Graphs,
    Journal of Engineering and Applied Sciences,
    Volume 13,Issue 12,
    2018,
    Pages 4330-4335,
    ISSN 1816-949x,
    jeasci.2018.4330.4335,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2018.4330.4335)
    Abstract: 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 g<sub>dc</sub> 
(G) is called doubly connected geodetic number of a graph G. A doubly connected geodetic set of cardinality
g<sub>dc</sub> (G) is called g<sub>dc</sub> (G)-set. We determine the doubly connected geodetic number in cartesian product, strong 
product, join of two graphs
    Keywords: connected geodetic;Cartesian product;geodetic number;strong product;join;composition;minimum cardinality;doubly connected