The metric dimension of the circulant graph C(n,±{1,2,3,4})

Let G = (V,E) be a connected graph and let d(u, v) denote the distance between vertices u, v ∈ V . A metric basis for G is a set B ⊆ V of minimum cardinality such that no two vertices of G have the same distances to all points of B. The cardinality of a metric basis of G is called the metric dimension of G, denoted by dim(G). In this paper we determine the metric dimension of the circulant graphs C(n, ±{1, 2, 3, 4}) for all values of n.