Graph spectra as a systematic tool in computational biology

@article{Banerjee2009GraphSA,
  title={Graph spectra as a systematic tool in computational biology},
  author={Anirban Banerjee and J{\"u}rgen Jost},
  journal={Discrete Applied Mathematics},
  year={2009},
  volume={157},
  pages={2425-2431}
}
We present the spectrum of the (normalized) graph Laplacian as a systematic tool for the investigation of networks, and we describe basic properties of eigenvalues and eigenfunctions. Processes of graph formation like motif joining or duplication leave characteristic traces in the spectrum. This can suggest hypotheses about the evolution of a graph representing biological data. To this data, we analyze several biological networks in terms of rough qualitative data of their spectra. 

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