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Scaling and Percolation in the Small-World Network Model

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Cited by:

  1. Li, Chunguang, 2009. "Memorizing morph patterns in small-world neuronal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(2), pages 240-246.
  2. Xenikos, D.G. & Constantoudis, V., 2023. "Weibull dynamics and power-law diffusion of epidemics in small world 2D networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
  3. Scabini, Leonardo F.S. & Ribas, Lucas C. & Neiva, Mariane B. & Junior, Altamir G.B. & Farfán, Alex J.F. & Bruno, Odemir M., 2021. "Social interaction layers in complex networks for the dynamical epidemic modeling of COVID-19 in Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
  4. de Sá, Luiz Alberto Pereira & Zielinski, Kallil M.C. & Rodrigues, Érick Oliveira & Backes, André R. & Florindo, João B. & Casanova, Dalcimar, 2022. "A novel approach to estimated Boulingand-Minkowski fractal dimension from complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
  5. Muller, Eitan & Peres, Renana, 2019. "The effect of social networks structure on innovation performance: A review and directions for research," International Journal of Research in Marketing, Elsevier, vol. 36(1), pages 3-19.
  6. Doménech, Antonio, 2009. "A topological phase transition between small-worlds and fractal scaling in urban railway transportation networks?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4658-4668.
  7. Yang, Jianmei & Zhuang, Dong & Xie, Weicong & Chen, Guangrong, 2013. "A study of design approach of spreading schemes for viral marketing based on human dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6494-6505.
  8. Sun, Lina & Huang, Ning & Li, Ruiying & Bai, Yanan, 2019. "A new fractal reliability model for networks with node fractal growth and no-loop," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 699-707.
  9. Vinayak, & Raghuvanshi, Adarsh & kshitij, Avinash, 2023. "Signatures of capacity development through research collaborations in artificial intelligence and machine learning," Journal of Informetrics, Elsevier, vol. 17(1).
  10. Lu, Zhe-Ming & Guo, Shi-Ze, 2012. "A small-world network derived from the deterministic uniform recursive tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 87-92.
  11. Floortje Alkemade & Carolina Castaldi, 2005. "Strategies for the Diffusion of Innovations on Social Networks," Computational Economics, Springer;Society for Computational Economics, vol. 25(1), pages 3-23, February.
  12. De Kamps, Marc & Ladley, Daniel & Simaitis, Aistis, 2014. "Heterogeneous beliefs in over-the-counter markets," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 50-68.
  13. Huang, Wei & Chen, Shengyong & Wang, Wanliang, 2014. "Navigation in spatial networks: A survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 132-154.
  14. Grabowski, Franciszek, 2010. "Logistic equation of arbitrary order," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3081-3093.
  15. Budzinski, R.C. & Boaretto, B.R.R. & Prado, T.L. & Lopes, S.R., 2019. "Temperature dependence of phase and spike synchronization of neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 35-42.
  16. Huo, Liang’an & Song, Naixiang, 2016. "Dynamical interplay between the dissemination of scientific knowledge and rumor spreading in emergency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 73-84.
  17. Budzinski, R.C. & Boaretto, B.R.R. & Rossi, K.L. & Prado, T.L. & Kurths, J. & Lopes, S.R., 2018. "Nonstationary transition to phase synchronization of neural networks induced by the coupling architecture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 321-334.
  18. Argollo de Menezes, M & Moukarzel, C.F & Penna, T.J.P, 2001. "Geometric phase-transition on systems with sparse long-range connections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 132-139.
  19. Wang, Wensheng & Karimi, Faezeh & Khalilpour, Kaveh & Green, David & Varvarigos, Manos, 2023. "Robustness analysis of electricity networks against failure or attack: The case of the Australian National Electricity Market (NEM)," International Journal of Critical Infrastructure Protection, Elsevier, vol. 41(C).
  20. Erkaymaz, Okan & Ozer, Mahmut & Perc, Matjaž, 2017. "Performance of small-world feedforward neural networks for the diagnosis of diabetes," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 22-28.
  21. Juste Raimbault, 2019. "Multi-dimensional Urban Network Percolation," Post-Print halshs-02361292, HAL.
  22. Cristopher Moore & M. E. J. Newman, 2000. "Exact Solution of Site and Bond Percolation on Small-World Networks," Working Papers 00-01-007, Santa Fe Institute.
  23. Mark Newman, 1999. "Small Worlds: The Structure of Social Networks," Working Papers 99-12-080, Santa Fe Institute.
  24. Jaideep Ghosh & Avinash Kshitij, 2017. "Examining the Emergence of Large-scale Structures in Collaboration Networks: Methods in Sociological Analysis," Sociological Methods & Research, , vol. 46(4), pages 821-863, November.
  25. Lahtinen, Jani & Kertész, János & Kaski, Kimmo, 2005. "Sandpiles on Watts–Strogatz type small-worlds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 535-547.
  26. Wei, Bo & Deng, Yong, 2019. "A cluster-growing dimension of complex networks: From the view of node closeness centrality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 80-87.
  27. Terrill L. Frantz & Marcelo Cataldo & Kathleen M. Carley, 2009. "Robustness of centrality measures under uncertainty: Examining the role of network topology," Computational and Mathematical Organization Theory, Springer, vol. 15(4), pages 303-328, December.
  28. Wes Maciejewski & Feng Fu & Christoph Hauert, 2014. "Evolutionary Game Dynamics in Populations with Heterogenous Structures," PLOS Computational Biology, Public Library of Science, vol. 10(4), pages 1-16, April.
  29. Mahendra Piraveenan & Mikhail Prokopenko & Liaquat Hossain, 2013. "Percolation Centrality: Quantifying Graph-Theoretic Impact of Nodes during Percolation in Networks," PLOS ONE, Public Library of Science, vol. 8(1), pages 1-14, January.
  30. Wang, Haibo, 2024. "Assessing resilience to systemic risks across interbank credit networks using linkage-leverage analysis: Evidence from Japan," International Review of Financial Analysis, Elsevier, vol. 94(C).
  31. Yu, Fengyuan & Wang, Jianwei & He, Jialu & Xu, Wenshu, 2023. "Friendship transmission and cooperation evolution in highly clustering interactions," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
  32. Jaideep Ghosh & Avinash Kshitij & Sandeep Kadyan, 2015. "Functional information characteristics of large-scale research collaboration: network measures and implications," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(2), pages 1207-1239, February.
  33. Jorritsma, Joost & Hulshof, Tim & Komjáthy, Júlia, 2020. "Not all interventions are equal for the height of the second peak," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
  34. David L. Alderson, 2008. "OR FORUM---Catching the “Network Science” Bug: Insight and Opportunity for the Operations Researcher," Operations Research, INFORMS, vol. 56(5), pages 1047-1065, October.
  35. Wang, Baoying & Gong, Yubing & Xie, Huijuan & Wang, Qi, 2016. "Optimal autaptic and synaptic delays enhanced synchronization transitions induced by each other in Newman–Watts neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 372-378.
  36. Yong Shi & Bo Li & Wen Long, 2019. "A Pyramid Scheme Model Based on "Consumption Rebate" Frauds," Papers 1904.08136, arXiv.org, revised Jun 2019.
  37. Zengwang Xu & Daniel Sui, 2007. "Small-world characteristics on transportation networks: a perspective from network autocorrelation," Journal of Geographical Systems, Springer, vol. 9(2), pages 189-205, June.
  38. Liu, Run-Ran & Chu, Changchang & Meng, Fanyuan, 2023. "Higher-order interdependent percolation on hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
  39. Hüseyin İkizler, 2019. "Contagion of network products in small-world networks," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(4), pages 789-809, December.
  40. Alfarano, Simone & Milakovic, Mishael, 2009. "Network structure and N-dependence in agent-based herding models," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 78-92, January.
  41. Sinisa Pajevic & Dietmar Plenz, 2009. "Efficient Network Reconstruction from Dynamical Cascades Identifies Small-World Topology of Neuronal Avalanches," PLOS Computational Biology, Public Library of Science, vol. 5(1), pages 1-20, January.
  42. Delre, S.A. & Jager, W. & Bijmolt, T.H.A. & Janssen, M.A., 2007. "Targeting and timing promotional activities: An agent-based model for the takeoff of new products," Journal of Business Research, Elsevier, vol. 60(8), pages 826-835, August.
  43. Shen, Ai-Zhong & Guo, Jin-Li & Wu, Guo-Lin & Jia, Shu-Wei, 2018. "The agglomeration phenomenon influence on the scaling law of the scientific collaboration system," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 461-467.
  44. Cui, Peng-Bi & Wu, Zhi-Xi & Zhou, Tao, 2022. "Small world can alleviate the social dilemmas originating from self-regulation or community policing issues," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
  45. Gong, Yubing & Wang, Li & Xu, Bo, 2012. "Delay-induced diversity of firing behavior and ordered chaotic firing in adaptive neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 548-553.
  46. Türker, İlker, 2018. "Generating clustered scale-free networks using Poisson based localization of edges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 72-85.
  47. Peres, Renana, 2014. "The impact of network characteristics on the diffusion of innovations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 330-343.
  48. I. Vieira & R. Cheng & P. Harper & V. Senna, 2010. "Small world network models of the dynamics of HIV infection," Annals of Operations Research, Springer, vol. 178(1), pages 173-200, July.
  49. Wang, Shuangyan & Cheng, Wuyi, 2019. "Novel method for spreading information with fewer resources in scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 15-29.
  50. Wang, Li & Gong, Yubing & Lin, Xiu, 2012. "Ordered chaotic bursting and multiple coherence resonance by time-periodic coupling strength in Newman–Watts neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 131-136.
  51. Zhou, Guangye & Li, Chengren & Li, Tingting & Yang, Yi & Wang, Chen & He, Fangjun & Sun, Jingchang, 2016. "Outer synchronization investigation between WS and NW small-world networks with different node numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 506-513.
  52. Mitra, Tushar & Hassan, Md. Kamrul, 2022. "A weighted planar stochastic lattice with scale-free, small-world and multifractal properties," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
  53. Lee Fleming & Charles King & Adam I. Juda, 2007. "Small Worlds and Regional Innovation," Organization Science, INFORMS, vol. 18(6), pages 938-954, December.
  54. Michele Giusfredi & Franco Bagnoli, 2020. "From Color-Avoiding to Color-Favored Percolation in Diluted Lattices," Future Internet, MDPI, vol. 12(8), pages 1-12, August.
  55. Paolo Zeppini & Koen Frenken, 2015. "Networks, Percolation, and Demand," Department of Economics Working Papers 38/15, University of Bath, Department of Economics.
  56. Dorso, Claudio O. & Medus, Andrés & Balenzuela, Pablo, 2017. "Vaccination and public trust: A model for the dissemination of vaccination behaviour with external intervention," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 433-443.
  57. Yuan, Wu-Jie & Luo, Xiao-Shu & Jiang, Pin-Qun & Wang, Bing-Hong & Fang, Jin-Qing, 2008. "Transition to chaos in small-world dynamical network," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 799-806.
  58. Pei, Jianxin & Liu, Ying & Wang, Wei & Gong, Jie, 2021. "Cascading failures in multiplex network under flow redistribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
  59. Gancio, Juan & Rubido, Nicolás, 2022. "Critical parameters of the synchronisation's stability for coupled maps in regular graphs," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
  60. Zheng, Yan Hong & Lu, Qi Shao, 2008. "Spatiotemporal patterns and chaotic burst synchronization in a small-world neuronal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3719-3728.
  61. Kumar, Ajay & Swarnakar, Pradip & Jaiswal, Kamya & Kurele, Ritika, 2020. "SMIR model for controlling the spread of information in social networking sites," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
  62. Liu, Hao & Chen, Xin & Huo, Long & Zhang, Yadong & Niu, Chunming, 2022. "Impact of inter-network assortativity on robustness against cascading failures in cyber–physical power systems," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
  63. Han, Dun & Shao, Qi & Li, Dandan & Sun, Mei, 2020. "How the individuals’ risk aversion affect the epidemic spreading," Applied Mathematics and Computation, Elsevier, vol. 369(C).
  64. Zhong, Li-Xin & Xu, Wen-Juan & Chen, Rong-Da & Qiu, Tian & Shi, Yong-Dong & Zhong, Chen-Yang, 2015. "Coupled effects of local movement and global interaction on contagion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 482-491.
  65. Özgür. D. Gürcan & Yang Li & Pierre Morel, 2020. "Turbulence as a Network of Fourier Modes," Mathematics, MDPI, vol. 8(4), pages 1-13, April.
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