Spectral density of complex networks with two species of nodes

@article{Nagao2013SpectralDO,
  title={Spectral density of complex networks with two species of nodes},
  author={Taro Nagao},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2013},
  volume={46}
}
  • T. Nagao
  • Published 25 August 2012
  • Computer Science, Physics
  • Journal of Physics A: Mathematical and Theoretical
The adjacency and Laplacian matrices of complex networks with two species of nodes are studied and the spectral density is evaluated by using the replica method in statistical physics. The network nodes are classified into two species (A and B) and connections are made only between the nodes of different species. A static model of such bipartite networks with power law degree distributions is introduced by applying Goh, Kahng and Kim’s method to construct scale-free networks. As a result, the… 
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Background Citations
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2 Citations

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TLDR
A thorough analytical study of the O(1/N) correction to the spectrum of regular random graphs with N→∞ nodes with isolated eigenvalue is developed, which exhibits an excellent agreement between this analytical formula and direct diagonalization results.
Extreme eigenvalues of sparse, heavy tailed random matrices

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