“…To understand and utilise the information in a social network, researches have developed various methods to capture the structure and characteristics of the network from different perspectives (Kleinberg, 2007;Shiga et al, 2007;Tantipathananandh et al, 2007;Backstrom et al, 2006;Koren et al, 2006;Berger-Wolf and Saia, 2006;Kumar et al, 2006;Fast et al, 2005;Spertus et al, 2005;Baumes et al, 2004;Girvan and Newman, 2002;Kempe et al, 2003). Among them, spectral analysis of the adjacency matrix and its variants (e.g., Laplacian matrix and normal matrix) has shown intimate relationship between the combinatorial characteristics of a graph and the algebraic spectral properties of its matrix (Seary and Richards, 2003).…”