Shanmukha, B.; Sooryanarayana, B.; Harinath, K. S. Metric dimension of wheels. (English) Zbl 1032.05044 Far East J. Appl. Math. 8, No. 3, 217-229 (2002). Summary: In [Ars Comb. 2, 191-195 (1976; Zbl 0349.05118)], F. Harary and R. A. Melter mentioned that the metric dimension of wheel \(W_{1,n}\) is \(2\). However, this result will not hold for large values of \(n\). In the same paper, they noted that \(\beta(K_p)= p-1\) and hence it follows that \(\beta(W_{1,3})= \beta(K_4)= 3\neq 2\). Making this observation, we compute the actual metric dimension of wheels. We also disprove \(\beta(G_1+ G_2)= \beta(G_1)+ \beta(G_2)\) mentioned in their paper. Cited in 2 ReviewsCited in 30 Documents MSC: 05C12 Distance in graphs 05C35 Extremal problems in graph theory Citations:Zbl 0349.05118 PDFBibTeX XMLCite \textit{B. Shanmukha} et al., Far East J. Appl. Math. 8, No. 3, 217--229 (2002; Zbl 1032.05044)