Abstract
Let G be a finite group. The character degree graph [Formula: see text] of G is the graph whose vertices are the prime divisors of character degrees of G and two vertices p and q are joined by an edge if pq divides the character degree of G. Let [Formula: see text] be the projective special linear group of degree n over a finite field of order q. Khosravi et. al. have shown that the simple groups [Formula: see text], and [Formula: see text] where [Formula: see text] are characterizable by the degree graphs and their orders. In this paper, we give a characterization of [Formula: see text] by using the character degree graph and its order.