DOMINATION AND DOMATIC NUMBERS OF INVOLUTORY CAYLEY GRAPH

The involutory Cayley graph G(Z(n), I-v) is a graph with vertex set Z(n) = {a(0) = 0, a(1) = 1, ..., a(n-1) = n - 1} and the edge set E(G) = {ab : a - b is an element of I-v or b - a is an element of I-v}, where I-v = {a is an element of Z(n) : a(2) equivalent to 1 (mod n)} is the set of involutory elements of Z(n) and n is any positive integer. In this paper, domination and domatic numbers for the involutory Cayley graph are discussed and the results are obtained for different n values > 1 of G(Z(n), I-v).