On dimension of some finite algebraic graphs of finite rings

Suppose that Γπ (Zp1p2···pα ) is a graph with the vertex set of nonzero zerodivisors of the finite ring Zp1p2...pα , where α > 1, and x − y is an edge if and only if x and y are π-prime, where π = {p1, p2, . . . , pα} is a set of odd prime numbers and a and b are π-prime if either (a, b) = 1 or (a, b) = p, p /∈ π. In this paper we study dimension, edge metric dimension and fraction dimension of the graph.Publisher's Versio