Title The relation between chromatic number of non-commuting graph and the structure of G/Z(G) Type Presentation Keywords Non-commuting graph, Chromatic number , Clique number. Abstract In this talk we study the relation between chromatic number of non-commuting graph and the structure of G/Z(G). For small values of \chi(G) we determine the structure of G/Z(G). Researchers hamidreza dorbidi (First researcher)