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The European Physical Journal Special Topics

, Volume 212, Issue 1, pp 77–97 | Cite as

Combinatorial Laplacian and entropy of simplicial complexes associated with complex networks

Regular Article

Abstract

Simplicial complexes represent useful and accurate models of complex networks and complex systems in general. We explore the properties of spectra of combinatorial Laplacian operator of simplicial complexes and show its relationship with connectivity properties of the Q-vector and with connectivities of cliques in the simplicial clique complex. We demonstrate the need for higher order analysis in complex networks and compare the results with ordinary graph spectra. Methods and results are obtained using social network of the Zachary karate club.

Keywords

Complex Network European Physical Journal Special Topic Simplicial Complex Maximal Clique Club Member 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2012

Authors and Affiliations

  1. 1.Institute of Nuclear Sciences VinčaUniversity of BelgradeBelgradeSerbia

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