Spectral theory of networks: from biomolecular to ecological systems

Ernesto Estrada

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

The best way for understanding how things work is by understanding their structures [1]. Complex networks are not an exception [2]. In order to understand why some networks are more robust than others, or why the propagation of a disease in faster in one network than in another is necessary to understand how these networks are organized [3-5]. A complex network is a simplified representation of a complex system in which the entities of the system are represented by the nodes in the network and the interrelations between entities are represented by means of the links joining pairs of nodes [3-5]. In analyzing the architecture of a complex network we are concerned only with the topological organization of these nodes and links. That is to say, we are not taking care of any geometric characteristic of the systems we are representing by these networks but only on how the parts are organized or distributed to form the whole system.
LanguageEnglish
Title of host publicationAnalysis of Complex Networks
Subtitle of host publicationFrom Biology to Linguistics
EditorsMatthias Dehmer, Frank Emmert-Streib
Pages55-83
Number of pages28
ISBN (Electronic)9783527627981
DOIs
Publication statusPublished - 2009

Fingerprint

Spectral Theory
Complex Networks
Vertex of a graph
Joining
Thing
Exception
Complex Systems
Propagation
Necessary

Keywords

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

Cite this

Estrada, E. (2009). Spectral theory of networks: from biomolecular to ecological systems. In M. Dehmer, & F. Emmert-Streib (Eds.), Analysis of Complex Networks: From Biology to Linguistics (pp. 55-83) https://doi.org/10.1002/9783527627981
Estrada, Ernesto. / Spectral theory of networks : from biomolecular to ecological systems. Analysis of Complex Networks: From Biology to Linguistics. editor / Matthias Dehmer ; Frank Emmert-Streib. 2009. pp. 55-83
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Estrada, E 2009, Spectral theory of networks: from biomolecular to ecological systems. in M Dehmer & F Emmert-Streib (eds), Analysis of Complex Networks: From Biology to Linguistics. pp. 55-83. https://doi.org/10.1002/9783527627981

Spectral theory of networks : from biomolecular to ecological systems. / Estrada, Ernesto.

Analysis of Complex Networks: From Biology to Linguistics. ed. / Matthias Dehmer; Frank Emmert-Streib. 2009. p. 55-83.

Research output: Chapter in Book/Report/Conference proceedingChapter

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KW - ecological systems

KW - graph spectra

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KW - global topological organization

KW - communicability

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Estrada E. Spectral theory of networks: from biomolecular to ecological systems. In Dehmer M, Emmert-Streib F, editors, Analysis of Complex Networks: From Biology to Linguistics. 2009. p. 55-83 https://doi.org/10.1002/9783527627981