Abstract
A set SS ⊆ VV[ηη(GG)]is a split geodetic set of (GG) , if S is a geodetic set and 〈VV − SS〉 is disconnected. The split geodetic number of a lict graphηη(GG), is denoted by gs[ηη(GG)], is the minimum cardinality of a split geodetic set of ηη(GG). 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. Mathematics Subject Classification: 05C05, 05C12.
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