“…Later on, this topic gained the attention of many researchers which resulted a number of remarkable determinations of various types of graphs associated with groups, [2][3][4][5][6][7][8][9][10][11][12] rings, [13][14][15] ideals, [16][17][18] vector spaces, [19][20][21][22][23][24] and posets. [25][26][27][28] The problem of vertex determination in a connected graph G by defining the metric on G attracted various graph theorist as well many other researchers due to its significant applications in several extents including verification, security and discovery of networks, 29 the chemistry of pharmaceutics for drug designing, 30 mastermind game strategies, 31 navigation of robots, 32 connected joins in graphs, 33 and solution of coin weighing problems. 34 Because of these practical significance of this problem, from the last two decades, numerous researchers determined vertices in various families of graphs, mainly, by defining metric related concepts of the metric dimension, 30,35,36 and then by defining several variations of the metric dimension.…”