TY - JOUR AU - Sooryanarayana, Badekara AU - A.S., Suma AU - S.B., Chandrakala PY - 2021/03/31 Y2 - 2024/03/29 TI - Certain Varieties of Resolving Sets of A Graph JF - Journal of the Indonesian Mathematical Society JA - JIMS VL - 27 IS - 1 SE - Articles DO - 10.22342/jims.27.1.881.103-114 UR - http://jims-a.org/index.php/jimsa/article/view/881 SP - 103-114 AB - Let G=(V,E) be a simple connected graph. For each ordered subset S={s_1,s_2,...,s_k} of V and a vertex u in V, we associate a vector Gamma(u/S)=(d(u,s_1),d(u,s_2),...,d(u,s_k)) with respect to S, where d(u,v) denote the distance between u and v in G. A subset S is said to be resolving set of G if Gamma(u/S) not equal to Gamma(v/S) for all u, v in V-S. The purpose of this paper is to introduce various types of r-sets and compute minimum cardinality of each set, in possible cases, particulary for paths, cycles, complete graphs and wheels. ER -