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Non Split Geodetic Number of a Line Graph
Ashalatha K.S, Venkanagouda M Goudar, Venkatesha
Volume 13 Issue 11
Global Journal of Science Frontier Researc
Volume 13 Issue 11
Global Journal of Science Frontier Researc
A set S V [L(G)] is a non split geodetic set of L(G), if S is a geodetic set and is connected. The non split geodetic number of a line graph L(G), is denoted by gns[L(G)], is the minimum cardinality of a non split geodetic set of L(G). In this paper we obtain the non split geodetic number of line graph of any graph. Also obtain many bounds on non split geodetic number in terms of elements of G and covering number of G. We investigate the relationship between non split geodetic number and geodetic number.
