English

Spectral properties of adjacency and distance matrices for various networks

Disordered Systems and Neural Networks 2008-07-03 v1 Statistical Mechanics

Abstract

The spectral properties of the adjacency (connectivity) and distance matrix for various types of networks: exponential, scale-free (Albert--Barabasi) and classical random ones (Erdos--Renyi) are evaluated. The graph spectra for dense graph in the Erdos-Renyi model are derived analytically.

Keywords

Cite

@article{arxiv.0803.2064,
  title  = {Spectral properties of adjacency and distance matrices for various networks},
  author = {K. Malarz},
  journal= {arXiv preprint arXiv:0803.2064},
  year   = {2008}
}

Comments

9 pages, 3 figures in 7 epos files, for ICCS 2008