Chapter 4. Spectral Theory of Networks: From Biomolecular to Ecological Systems

  1. PD Dr. habil. Matthias Dehmer2,3,
  2. Prof. Dr. Frank Emmert-Streib4
  1. Ernesto Estrada

Published Online: 21 AUG 2009

DOI: 10.1002/9783527627981.ch4

Analysis of Complex Networks: From Biology to Linguistics

Analysis of Complex Networks: From Biology to Linguistics

How to Cite

Estrada, E. (2009) Spectral Theory of Networks: From Biomolecular to Ecological Systems, in Analysis of Complex Networks: From Biology to Linguistics (eds M. Dehmer and F. Emmert-Streib), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527627981.ch4

Editor Information

  1. 2

    Vienna University of Technology, Discrete Mathematics and Geometry, Wiedner Hauptstraße 8–10, 1040 Vienna, Austria

  2. 3

    University of Coimbra, Center for Mathematics, Apartado 3008, 3001-454 Coimbra, Portugal

  3. 4

    Computational Biology and Machine Learning, Center for Cancer Research and Cell Biology, School of Medicine, Dentistry and Biomedical Sciences, Queen's University Belfast, 97 Lisburn Road, Belfast, BT9 7BL, UK

Author Information

  1. University of Strathclyde, Institute of Complex Systems at Strathclyde, Department of Physics and Department of Mathematics, Glasgow G1 1XH, UK

Publication History

  1. Published Online: 21 AUG 2009
  2. Published Print: 22 APR 2009

ISBN Information

Print ISBN: 9783527323456

Online ISBN: 9783527627981

SEARCH

Keywords:

  • spectral theory;
  • complex networks;
  • biomolecular systems;
  • ecological systems;
  • graph spectra;
  • node centrality;
  • global topological organization;
  • communicability;
  • network bipartivity

Summary

This chapter contains sections titled:

  • Introduction

  • Background on Graph Spectra

  • Spectral Measures of Node Centrality

  • Global Topological Organization of Complex Networks

  • Communicability in Complex Networks

  • Network Bipartivity

  • Conclusion

  • References