On connected closed geodetic numbers of some graphs
Adawiya G. Amanodin, Imelda S. Aniversario, Michael E. Subido · Applied Mathematical Sciences · 2015
This study deals primarily with the connected closed geodetic numbers of some graphs, a closed geodetic closure invariant introduced by Buckley and Harary [2]. For S V (G), where G is a connected graph, the geodetic closure IG[S] of S is the set of all vertices lying on some u-v geodesic where u and v are in S. In this paper, select vertices of G sequentially as follows: Select a vertex v1 and let S1 = fv1g. Select a vertex v2 6 v1 and let S2 =fv1;v2g, then determine IG[S2]. If IG[S2]6 V (G), then successively select vertex vi =