global-journal-of-science-frontier-research-f-mathematics-decision Global Journal of Science Frontier Research - F: Mathematics & Decision 0975-5896 2249-4626 Global Journals Publishing Group Incorporated 89722 Non Split Geodetic Number of a Line Graph K.SAshalatha GoudarVenkanagouda M Venkatesha INDIA, Kuvempu University 23 12 2013 13 F11 55 61

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 g [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.

 cartesian product distance edge covering number line graph non split geodetic number vertex covering number. Full Text

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.