On the Non-Commuting Graph of the Group U6n

Let G be a finite group. The non-commuting graph of G is a simple graph Gamma(G) whose vertices are elements of G\Z(G), where Z(G) is the center of G, and two distinct vertices aa and bb are joint by an edge if ab not equal ba. In this paper, we study the non-commuting graph of the group U-6n. The independent number, clique and chromatic numbers of the non-commuting graph of the group U6n, Gamma(U-6n), are determined. Additionally, the resolving polynomial, total eccentricity and independent polynomials of Gamma(U-6n) are computed. Finally, the detour and eccentric connectivity indices of Gamma(U6n) are found.