Phase transitions in optimized network models

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

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

[3]  Pik-Yin Lai,et al.  Connectivities and synchronous firing in cortical neuronal networks. , 2004, Physical review letters.

[4]  Aleksandra M. Walczak,et al.  Optimizing Information Flow in Small Genetic Networks. II. Feed-forward Interactions , 2010 .

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

[6]  P A Robinson,et al.  Geometric effects on complex network structure in the cortex. , 2011, Physical review letters.

[7]  Pik-Yin Lai.  Reconstructing network topology and coupling strengths in directed networks of discrete-time dynamics. , 2017, Physical review. E.

[8]  Adilson E Motter,et al.  Introduction: optimization in networks. , 2007, Chaos.

[9]  K. Kawasaki.  Diffusion Constants near the Critical Point for Time-Dependent Ising Models. I , 1966 .

[10]  P. Lai,et al.  Reconstructing networks from dynamics with correlated noise , 2018, Physica A: Statistical Mechanics and its Applications.

[11]  P. Lai,et al.  Application of statistical mechanics to combinatorial optimization problems: The chromatic number problem andq-partitioning of a graph , 1987 .

[12]  Pik-Yin Lai,et al.  Growth of cortical neuronal network in vitro: modeling and analysis. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Pik-Yin Lai,et al.  Reconstructing positive and negative couplings in Ising spin networks by sorted local transfer entropy. , 2019, Physical review. E.

[14]  Stefan Bornholdt,et al.  Evolution of robust network topologies: Emergence of central backbones , 2012, Physical review letters.

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

[16]  P. Lai.  Dynamics of polymer knots at equilibrium. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  S. Strogatz.  Exploring complex networks , 2001, Nature.

[18]  P. Lai,et al.  q-partitioning of graphs with finite coordination number , 1988 .

[19]  Bo Li,et al.  Optimizing Synchronization Stability of the Kuramoto Model in Complex Networks and Power Grids , 2016, Physical review. E.

[20]  Synge Todo,et al.  Order-N cluster Monte Carlo method for spin systems with long-range interactions , 2008, J. Comput. Phys..

[21]  H. N. Nagaraja,et al.  Order Statistics, Third Edition , 2005, Wiley Series in Probability and Statistics.

[22]  J. F. F. Mendes,et al.  Critical Dynamics of thek-Core Pruning Process , 2015, 1505.05484.

[23]  Henrik Ronellenfitsch,et al.  Global Optimization, Local Adaptation, and the Role of Growth in Distribution Networks. , 2016, Physical review letters.

[24]  Pik-Yin Lai,et al.  Extracting connectivity from dynamics of networks with uniform bidirectional coupling. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Si Wu,et al.  Solving the inverse problem of noise-driven dynamic networks. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  Emily S C Ching,et al.  Reconstructing links in directed networks from noisy dynamics. , 2017, Physical review. E.

[27]  P. Lai,et al.  Robustness and adaptation reveal plausible cell cycle controlling subnetwork in Saccharomyces cerevisiae. , 2013, Gene.

[28]  O. Sporns,et al.  The economy of brain network organization , 2012, Nature Reviews Neuroscience.

[29]  Gasper Tkacik,et al.  Optimizing information flow in small genetic networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Pik-Yin Lai,et al.  Reconstructing weighted networks from dynamics. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  S. Havlin,et al.  Optimization of network robustness to waves of targeted and random attacks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[33]  Wang,et al.  Nonuniversal critical dynamics in Monte Carlo simulations. , 1987, Physical review letters.