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 -