Comparing Fullerenes by Spectral Moments

چکیده مقاله

Suppose G is a graph, AG its adjacency matrix, and 1G ≤ 2G≤· · ·≤nG are eigenvalues of AG. The numbers SkG =ni=1 ki G 0 ≤ k ≤ n−1 are said to be the k-th spectral moment of G and the sequence SG=S0G S1GSn−1G is called the spectral moments sequence of G. Suppose G1 and G2 are graphs. If there exists an integer k, 1 ≤ k ≤ n−1, such that for each i, 0 ≤ i ≤ k −1, Si G1 = SiG2 and SkG1 < SkG2 then we write G1 ≺ S G2. The aim of this paper is order some classes of fullerene graphs with respect to the S-order.