• GEODETIC GLOBAL DOMINATION IN GRAPHS

S. ROBINSON CHELLATHURAI, X. LENIN XAVIOUR

Abstract


In this paper, we introduce the concept geodetic global domination number of a graph. Also, geodetic global domination number of certain classes of graphs are determined and some of its general properties are studied. It is shown that for any two integers a and b, where 2 £ a £ b, there exists a connected graph G with gg(G) = a and           (G) = b.


Keywords


Geodetic set/Dominating set/ Global domination/Geodetic domination/ Geodetic global domination.

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