A characterization of some simple unitary groups via order and degree pattern of solvable graph

The solvable graph associated with a finite group G, denoted by Γs(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 a characterization for projective special unitary groups U3(q) with some certain conditions by the solvable graph.