Geodetic Connected Domination Number of a graph
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 7
Abstract
A pair x, y of vertices in a nontrivial connected graph is said to geodominate a vertex v of G if either v {x,y} or v lies an x - y geodesic of G. A set S of vertices of G is a geodetic set if every vertex of G is geodominated by some pair of vertices of S. A subset S of vertices in a graph G is called a geodetic connected dominating set if S is both a geodetic set and a connected dominating set. We study geodetic connected domination on graphs.
Authors and Affiliations
Tejaswini K M, Venkanagouda M Goudar, Venkatesh Venkatesh
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