Exploring self-similarity of complex cellular networks: The edge-covering method with simulated annealing and log-periodic sampling

[1]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[2]  C. Sparrow.  The Fractal Geometry of Nature , 1984 .

[3]  L N Frazer,et al.  Rapid Determination of the Critical Temperature in Simulated Annealing Inversion , 1990, Science.

[4]  D. Sornette.  Discrete scale invariance and complex dimensions , 1997, cond-mat/9707012.

[5]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[6]  Didier Sornette,et al.  Punctuated vortex coalescence and discrete scale invariance in two-dimensional turbulence , 1999, cond-mat/9902247.

[7]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[8]  A. Johansen,et al.  Artifactual log‐periodicity in finite size data: Relevance for earthquake aftershocks , 1999, cond-mat/9911421.

[9]  D. Sornette.  Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools , 2000 .

[10]  D. Sornette.  Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools , 2000 .

[11]  R. Albert,et al.  The large-scale organization of metabolic networks , 2000, Nature.

[12]  Didier Sornette,et al.  Evidence of intermittent cascades from discrete hierarchical dissipation in turbulence , 2001 .

[13]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[14]  Didier Sornette,et al.  Statistical Significance of Periodicity and Log-Periodicity with Heavy-Tailed Correlated Noise , 2002 .

[15]  Sergey N. Dorogovtsev,et al.  Evolution of Networks: From Biological Nets to the Internet and WWW (Physics) , 2003 .

[16]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[17]  Mark Newman,et al.  Detecting community structure in networks , 2004 .

[18]  Beom Jun Kim.  Geographical coarse graining of complex networks. , 2004, Physical review letters.

[19]  Evelyn Fox Keller,et al.  Revisiting "scale-free" networks. , 2005, BioEssays : news and reviews in molecular, cellular and developmental biology.

[20]  Steven H. Strogatz,et al.  Complex systems: Romanesque networks , 2005, Nature.

[21]  S. Havlin,et al.  Self-similarity of complex networks , 2005, Nature.

[22]  LOG-PERIODIC OSCILLATIONS IN DEGREE DISTRIBUTIONS OF HIERARCHICAL SCALE-FREE NETWORKS ∗ , 2005, cond-mat/0503291.

[23]  Hildegard Meyer-Ortmanns,et al.  Self-similar scale-free networks and disassortativity. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  K-I Goh,et al.  Skeleton and fractal scaling in complex networks. , 2006, Physical review letters.

[25]  Shlomo Havlin,et al.  Origins of fractality in the growth of complex networks , 2005, cond-mat/0507216.

[26]  J S Kim,et al.  Fractality in complex networks: critical and supercritical skeletons. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.