• SPLIT GEODETIC NUMBER OF A LICT GRAPH

VENKANAGOUDA M GOUDAR, TEJASWINI K.M*, VENKATESHA .

Abstract


A set is a split geodetic set of , if S is a geodetic set and is disconnected. The split geodetic number of a lict graph, is denoted by gs[], is the minimum cardinality of a split geodetic set of . In this paper we obtain the split geodetic number of lict graph of any graph. Also obtain many bounds on split geodetic number in terms of elements of G and covering number of G. We investigate the relationship between split geodetic number and geodetic number.


Keywords


Cartesian product, Distance, Edge covering number, Lict graph, Split geodetic number, Vertex covering number.

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