Banafsheh Akbari - Department of Mathematics, Sahand University of Technology, Tabriz, IRAN.

The solvable graph associated with a finite group G, denoted by {\Gamma}_{\rm s}(G), is a simple graph whose vertices are the prime divisors of |G| and two distinct primes p and q are joined by an edge if and only if there exists a solvable subgroup of G whose order is divisible by pq. In this paper, we give acharacterization for projective special unitary groups U_۳(q) with some certain conditions by the solvable graph.

solvable graph, degree pattern of solvable graph, simple group, {rm OD_s}-characterization of a finite group