Table 6 Unique representations of the vertices given in the Fig. 7.

From: Optimizing emergency response services in urban areas through the fault-tolerant metric dimension of hexagonal nanosheet

vertex

\({a_{1,1}}\)

\({a_{1,2}}\)

\({a_{1,3}}\)

\({a_{2,1}}\)

\({a_{2,2}}\)

\({a_{2,3}}\)

\(r(. \mid R )\)

(0,2,1)

(1,1,2)

(2,0,3)

(1,3,0)

(2,2,1)

(3,1,2)