@article{MAKHILLJEAS2018131216342,
    title = {Doubly Connected Geodetic Number on Operations in Graphs},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {13},
    number = {12},
    pages = {4330-4335},
    year = {2018},
    issn = {1816-949x},
    doi = {jeasci.2018.4330.4335},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2018.4330.4335},
    author = {K.L. and},
    keywords = {connected geodetic,Cartesian product,geodetic number,strong product,join,composition,minimum cardinality,doubly connected},
    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}
    }