title: Assortative and disassortative mixing investigated using the spectra of graphs.
abstract: We investigate the impact of degree-degree correlations on the spectra of networks. Even though density distributions exhibit drastic changes depending on the (dis)assortative mixing and the network architecture, the short-range correlations in eigenvalues exhibit universal random matrix theory predictions. The long-range correlations turn out to be a measure of randomness in (dis)assortative networks. The analysis further provides insight into the origin of high degeneracy at the zero eigenvalue displayed by a majority of biological networks.
authors: Complex Systems Lab, Indian Institute of Technology Indore, M-Block, IET-DAVV Campus, Khandwa Road, Indore 452017, India and Centre for Biosciences and Biomedical Engineering, Indian Institute of Technology Indore, M-Block, IET-DAVV Campus, Khandwa Road, Indore 452017, India.
authors: Sarika
authors: S
authors: Jalan
authors: Complex Systems Lab, Indian Institute of Technology Indore, M-Block, IET-DAVV Campus, Khandwa Road, Indore 452017, India.
authors: Alok
authors: A
authors: Yadav
mesh_terms: D003196:Computer Graphics; D008962:Models, Theoretical