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26 April 2024
 
  » arxiv » q-bio.MN/0410024

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Offdiagonal Complexity: A computationally quick complexity measure for graphs and networks
Jens Christian Claussen ;
Date 20 Oct 2004
Subject Molecular Networks; Quantitative Methods | q-bio.MN q-bio.QM
AffiliationUniversity Kiel
AbstractA vast variety of biological, social, and economical networks shows topologies drastically differing from random graphs; yet the quantitative characterization remains unsatisfactory from a conceptual point of view. Motivated from the discussion of small scale-free networks, a biased link distribution entropy is defined, which takes an extremum for a power law distribution. This approach is extended to the node-node link cross-distribution, whose nondiagonal elements characterize the graph structure beyond link distribution, cluster coefficient and average path length. From here a simple (and computationally cheap) complexity measure
Source arXiv, q-bio.MN/0410024
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