Physical and Social Networks
(Including Animal Motion)

from the Havlin and Stanley Groups



  1. L. A. N. Amaral, A. Scala, M. Barthelemy, and H. E. Stanley, "Classes of Small-World Networks," Proc. National Academy of Sciences USA 97, 11149-11152 (2000). PDF [Citations: 693]
  2. M. Barthelemy and L. A. N. Amaral, "Small-World Networks: Evidence for a Crossover Picture," Phys. Rev. Lett. 82, 3180-3183 (1999). PDF [Citations: 137]
  3. L. A. Braunstein, S. V. Buldyrev, R. Cohen, S. Havlin, and H. E. Stanley, "Optimal Paths in Disordered Complex Networks," Phys. Rev. Lett. 91, 168701 (2003). PDF [Citations: 75]
  4. L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Universality Classes for Self-Avoiding Walks in a Strongly Disordered System," Phys. Rev. E 65, 056128 (2002). PDF
  5. L. A. Braunstein, S. V. Buldyrev, S. Sreenivasan, R. Cohen, S. Havlin, and H. E. Stanley, "The Optimal Path in an Erdos-Renyi Random Graph" [Proc. CNS Conference "Networks: Structure, Dynamics and Function," Santa Fe, New Mexico, May 12 - 16, 2003] (Springer Verlag, Berlin, 2004). PDF
  6. L. A. Braunstein, Z. Wu, Y. Chen, S. V. Buldyrev, T. Kalisky, S. Sreenivasan, R. Cohen, E. Lopez, S. Havlin, and H. E. Stanley, "Optimal Path and Minimal Spanning Trees in Random Weighted Networks" [invited review article for the topic issue on Complex Networks' Structure and Dynamics], International Journal of Bifurcation and Chaos 17, 2215-2255 (2007). PDF
  7. S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Optimal Paths in Strong and Weak Disorder: A Unified Approach," Phys. Rev. E 73, 036128 (2006). PDF
  8. S. V. Buldyrev, L. A. Braunstein, R. Cohen, S. Havlin, and H. E. Stanley, "Length of Optimal Path in Random Networks with Strong Disorder," Physica A 330, 246-252 (2003). PDF
  9. S. V. Buldyrev, S. Havlin, E, Lopez, and H. E. Stanley, "Universality of the Optimal Path in the Strong Disorder Limit," Phys. Rev. E Rapid Communications 70, 035102(R) (2004). PDF
  10. S. Carmi, Z. Wu, E. Lopez, S. Havlin, and H. E. Stanley, "Transport between Multiple Users in Complex Networks" [Proc. APFA-5, Torino] Eur. Phys. J. B 57[2], 165-174 (2007). PDF
  11. S. Carmi, S. Havlin, S. Kirkpatrick, Y. Shavitt, and E. Shir, "A Model of Internet Topology Using k-Shell Decomposition," Proc. National Academy of Sciences USA 104, 11150-11154 (2007). PDF
  12. S. Carmi, Z. Wu, S. Havlin, and H. E. Stanley, "Transport in Networks with Multiple Sources and Sinks," Europhys. Lett. 84, 28005 (2008). PDF
  13. S. Carmi, S. Havlin, C. Song, K. Wang, and H. A. Makse, "Energy-Landscape Network Approach to the Glass Transition," J. Phys. A: Mathematical and Theoretical 42, 105101 (2009). PDF
  14. Y. Chen, E. Lopez, S. Havlin, and H. E. Stanley, "Universal Behavior of Optimal Paths in Weighted Networks with General Disorder," Phys. Rev. Lett. 96, 068702 (2006). PDF
  15. Y. Chen, G. Paul, R. Cohen, S. Havlin, S. P. Borgatti, F. Liljeros, and H. E. Stanley, "Percolation Theory and Fragmentation Measures in Social Networks" [Proc. 2006 Budapest Conference on Social Network Analysis], Physica A 378, 11-19 (2007). PDF
  16. Y. Chen, G. Paul, R. Cohen, S. Havlin, S. P. Borgatti, F. Liljeros, and H. E. Stanley, "Percolation Theory Applied to Measures of Fragmentation in Social Networks," Phys. Rev. E 75, 046107 (2007). PDF v
  17. Y. Chen, G. Paul, S. Havlin, F. Liljeros, and H. E. Stanley, "Finding a Better Immunization Strategy," Phys. Rev. Lett. 101, 058701 (2008). PDF
  18. R. Cohen, K. Erez, D. ben-Avraham, and S. Havlin, "Resilience of the Internet to Random Breakdown," Phys. Rev. Lett. 85, 4626-4628 (2000). PDF [Citations: 451]
  19. R. Cohen, K. Erez, D. ben-Avraham, and S. Havlin, "Breakdown of the Internet under Intentional Attack," Phys. Rev. Lett. 86, 3682-3685 (2001). PDF [Citations: 239]
  20. R. Cohen, S. Havlin, and D. ben-Avraham, "Structural Properties of Scale Free Networks," Chap. 4 in "Handbook of graphs and networks," Eds. S. Bornholdt and H. G. Schuster (Wiley-VCH, 2002). PDF
  21. R. Cohen and S. Havlin, "Scale-Free Networks are Ultrasmall," Phys. Rev. Lett. 90, 058701 (2003). PDF [Citations: 121]
  22. R. Cohen, D. ben-Avraham, and S. Havlin, "Percolation Critical Exponents in Scale-Free Networks," Phys. Rev. E 66, 036113 (2002). PDF [Citations: 65]
  23. R. Cohen, A. F. Rozenfeld, N. Schwartz, D. ben-Avraham, and S. Havlin, "Directed and Non-Directed Scale Free Networks," Lecture Notes in Physics 625, 23 (2003). Proceedings of the XVIII Sitges Conference "Statistical Mechanics of Complex Networks," Sitges, 2002, Eds. R. Pastor-Satorras, J. M. Rubi, and A. Diaz-Guilera (Springer, Berlin, 2003). PDF
  24. R. Cohen, S. Havlin, and D. ben-Avraham, "Efficient Immunization Strategies for Computer Networks and Populations," Phys. Rev. Lett. 91, 247901 (2003). PDF [Citations: 71]
  25. A. M. Edwards, R. A. Phillips, N. W. Watkins, M. P. Freeman, E. J. Murphy, V. Afanasyev, S. V. Buldyrev, M. G. E. da Luz, E. P. Raposo, H. E. Stanley, and G. M. Viswanathan, "Revisiting Levy Flight Search Patterns of Wandering Albatrosses, Bumblebees, and Deer," Nature 449, 1044-1048 (2007). PDF
  26. L. K. Gallos, R. Cohen, F. Liljeros, P. Argyrakis, A. Bunde, and S. Havlin, "Attack Strategies on Complex Networks," Computational Science - ICCS 2006, Pt 3, Proceedings [Lecture Notes in Computer Science] 3993, 1048-1055 (2006). PDF
  27. L. K. Gallos, F. Liljeros, P. Argyrakis, A. Bunde, and S. Havlin, "Improving Immunization Strategies," Phys. Rev. E 75, 045104 (2007). PDF
  28. L. K. Gallos, C. Song, S. Havlin, and H. A. Makse, "Scaling Theory of Transport in Complex Biological Networks," Proc. National Academy of Sciences USA 104, 7746-7751 (2007). PDF
  29. A. Garas, P. Argyrakis, and S. Havlin, "The Structural Role of Weak and Strong Links in a Financial Market Network," Euro. Phys. J. B 63, 265-271 (2008). PDF
  30. A. Gozolchiani, K. Yamasaki, O. Gazit, and S. Havlin, "Pattern of Climate Network Blinking Links Follows El Nino Events," Europhys. Lett. 83, 28005 (2008). PDF
  31. S. Havlin, L. A. Braunstein, S. V. Buldyrev, R. Cohen, T. Kalisky, S. Sreenivasan, and H. E. Stanley, "Optimal Path in Random Networks with Disorder: A Mini Review" [Proceedings of the Kolkata Conference on Networks], Physica 346, 82-92 (2005). PDF
  32. S. Havlin, E. Lopez, S. V. Buldyrev, and H. E. Stanley, "Anomalous Conductance and Diffusion in Complex Networks," Diffusion Fundamentals 2, 4.1-4.11 (2005). PDF
  33. L. Jahnke, J. W. Kantelhardt, R. Berkovits, and S. Havlin, "Wave Localization in Complex Networks with High Clustering," Phys. Rev. Lett. 101, 175702 (2008). PDF
  34. W.-S. Jung, H.-T. Moon, and H. E. Stanley, "Dynamics of Clustered Opinions in Complex Networks," J. of Economic Interaction and Coordination 3[1], 81-88 (2008). PDF
  35. W.-S. Jung, F. Wang, and H. E. Stanley, "Gravity Model in the Korean Highway," Europhys. Lett. 81, 48005 (2008). PDF
  36. T. Kalisky, L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Scaling of Optimal-Path-Lengths Distribution in Complex Networks," Phys. Rev. E 72, 025102 (2005). PDF
  37. T. Kalisky, S. Sreenivasan, L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Scale-Free properties of weighted random graphs: Minimum Spanning Trees and Percolation" [Proc. in Science of Complex Networks: from Biology to the Internet and WWW, Aveiro, Portugal], AIP Conf. Proc. 776, 79-89 (2005). PDF
  38. T. Kalisky, S. Sreenivasan, L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Scale-Free Networks Emerging from Weighted Random Graphs," Phys. Rev. E Rapid Communications 73, 025103(R) (2006). PDF
  39. T. Kalisky, R. Cohen, O. Mokryn, D. Dolev, Y. Shavitt, and S. Havlin, "Tomography of Scale-Free Networks and Shortest Path Trees," Phys. Rev. E 74, 066108 (2006). PDF
  40. T. Keitt and H. E. Stanley, "Scaling in the Dynamics of North American Breeding-Bird Populations," Nature 393, 257-259 (1998). PDF
  41. M. Kitsak, S. Havlin, G. Paul, M. Riccaboni, F. Pammolli, and H. E. Stanley, "Betweenness Centrality of Fractal and Non-Fractal Scale-Free Model Networks and Tests on Real Networks," Phys. Rev. E 75, 056115 (2007). PDF
  42. A. Kittas, S. Carmi, S. Havlin, and P. Argyrakis, "Trapping in Complex Networks," Europhys. Lett. 84, 40008 (2008). PDF
  43. K. Kosmidis, S. Havlin, and A. Bunde, "Structural Properties of Spatially Embedded Networks," Europhys. Lett. 82, 48005 (2008). PDF
  44. D. Li, I. Leyva, J. A. Almendral, I. Sendina-Nadal, J. M. Buldu, S. Havlin, and S. Boccaletti, "Synchronization Interfaces and Overlapping Communities in Complex Networks," Phys. Rev. Lett. 101, 168701 (2008). PDF
  45. G. Li, L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Percolation and Transport in Weighted Networks," Phys. Rev. E Rapid Communications 75, 045103 (2007). PDF
  46. F. Liljeros, C. R. Edling, L. A. N. Amaral, H. E. Stanley, and Y. Aberg, "The Web of Human Sexual Contacts," Nature 411, 907-908 (2001). PDF [Citations: 435]
  47. F. Liljeros, C. R. Edling, H. E. Stanley, Y. Aberg, and L. A. N. Amaral, Reply to: J. H. Jones and M. S. Handcock, "Sexual Contacts and Epidemic Thresholds," Nature 423, 605-606 [article] 606 [reply] (2003). PDF of both
  48. E. Lopez, S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Anomalous Transport in Scale-Free Networks," Phys. Rev. Lett. 94, 248701 (2005). PDF
  49. E. Lopez, S. V. Buldyrev, L. Braunstein, S. Havlin, and H. E. Stanley, "Possible Connection between the Optimal Path and Flow in Percolation Clusters," Phys. Rev. E 72, 056131 (2005). PDF
  50. E. Lopez, S. Carmi, S. Havlin, S. V. Buldyrev, and H. E. Stanley, "Anomalous Electrical and Frictionless Flow Conductance in Complex Networks" [Proceedings of the Dresden Conference on Dynamics and Complex Networks], Physica D 224, 69-76 (2006). PDF
  51. E. Lopez, R. Parshani, R. Cohen, S. Carmi, and S. Havlin, "Limited Path Percolation in Complex Networks," Phys. Rev. Lett. 99, 188701 (2007). PDF
  52. H. Makse, S. Havlin, and H. E. Stanley, "Modeling Urban Growth Patterns," Nature 377, 608-612 (1995). PDF -- Accompanied by News & Views editorial by M. Batty, p. 574. PDF -- Cover story, "The Shapes of Cities: Mapping Out Fractal Models of Urban Growth," Science News 149, 8-9 (6 January 1996). PDF
  53. M. Maragakis, S. Carmi, D. ben-Avraham, S. Havlin, and P. Argyrakis, "Priority Diffusion Model in Lattices and Complex Networks," Phys. Rev. E 77, 020103 (2008). PDF
  54. S. Mossa, M. Barthelemy, H. E. Stanley, and L. A. N. Amaral, "Truncation of Power Law Behavior in Scale-Free Network Models Due to Information Filtering," Phys. Rev. Lett. 88, 138701 (2002). PDF
  55. A. L. Pastore y Piontti, P. A. Macri, and L. A. Braunstein, "Discrete Surface Growth Process as a Synchronization Mechanism for Scale-Free Complex Networks," Phys. Rev. E 76, 046117 (2007). PDF
  56. G. Paul, T. Tanizawa, S. Havlin, and H. E. Stanley, "Optimization of Robustness of Complex Networks" [Proc. 2003 International Conference on on Growing Networks and Graphs], Euro. Phys. J. B 38, 187-191 (2004). PDF
  57. G. Paul, S. Sreenivasan, S. Havlin, and H. E. Stanley, "Optimization of Network Robustness to Random Breakdowns," Physica A 370, 854-862 (2006). PDF
  58. G. Paul, S. Sreenivasan, and H. E. Stanley, "Resilience of Complex Networks to Random Breakdown," Phys. Rev. E 72, 056130 (2005). PDF
  59. G. Paul, R. Cohen, S. Sreenivasan, S. Havlin, and H. E. Stanley, "Graph Partitioning Induced Phase Transitions," Phys. Rev. Lett. 99, 115701 (2007). PDF
  60. E. Perlsman and S. Havlin, "Stability of Directed Min-Max Optimal Paths," Europhys. Lett. 77, 20003 (2007). PDF
  61. A. F. Rozenfeld, R. Cohen, D. ben-Avraham, and S. Havlin, "Scale-Free Networks on Lattices," Phys. Rev. Lett. 89, 218701 (2002). PDF [Citations: 69]
  62. H. D. Rozenfeld, S. Havlin, and D. Ben-Avraham, "Fractal and Transfractal Recursive Scale-Free Nets," New J. Phys. 9, 175 (2007). PDF
  63. H. D. Rozenfeld, D. Rybski, J. S. Andrade, M. Batty, H. E. Stanley, and H. A. Makse, "Laws of Population Growth," Proc. Natl. Acad. Sci. USA 105, 18702-18707 (2008). PDF
  64. N. Schwartz, R. Cohen, D. ben-Avraham, A.-L. Barabasi, and S. Havlin, "Percolation in Directed Scale-Free Networks," Phys. Rev. E 66, 015104 (2002). PDF
  65. J. Shao, S. V. Buldyrev, R. Cohen, M. Kitsak, S. Havlin, and H. E. Stanley, "Fractal Boundaries of Complex Networks," Europhys. Lett. (EPL) 84, 48004 (2008). PDF
  66. C. Song, S. Havlin, and H. A. Makse, "Self-Similarity of Complex Networks," Nature 433, 392-395 (2005). PDF
  67. C. Song, L. K. Gallos, S. Havlin, and H. A. Makse, "How to Calculate the Fractal Dimension of a Complex Network: The Box Covering Algorithm," J. Stat. Mech. P03006 (2007). PDF
  68. S. Sreenivasan, T. Kalisky, L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Effect of Disorder Strength on Optimal Paths in Complex Networks," Phys. Rev. E 70, 046133 (2004). PDF
  69. S. Sreenivasan, T. Kalisky, L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Transition between Strong and Weak Disorder Regimes for the Optimal Path" [Proceedings of the Kolkata Conference on Networks], Physica 346, 174-182 (2005). PDF
  70. S. Sreenivasan, R. Cohen, E. Lopez, Z. Toroczkai, and H. E. Stanley, "Structural Bottlenecks for Communication in Networks," Phys. Rev. E 75, 036105 (2007). PDF
  71. H. E. Stanley and S. Havlin, "Threat Networks and Threatened Networks: Interdisciplinary Approaches to Stabilization and Immunization," in Dynamic Social Network Modeling and Analysis: Workshop Summary and Papers, edited by R. Breiger, K. Carley, and P. Pattison (The National Academies Press, Washington DC, 2003), pp. 187-194. PDF
  72. H. E. Stanley and S. Havlin, "Social Networks: From Sexual Networks to Threatened Networks," in Proceedings of the XVIII Sitges Conference on ``Statistical Mechanics of Complex Networks "Lecture Notes in Physics" series (Springer-Verlag, Berlin, 2004). PDF
  73. T. Tanizawa, G. Paul, R. Cohen, S. Havlin, and H. E. Stanley, "Optimization of Network Robustness to Waves of Targeted and Random Attacks," Phys. Rev. E (Rapid Communications) 71, 047101 (2005). PDF
  74. T. Tanizawa, G. Paul, S. Havlin, and H. E. Stanley, "Optimization of the Robustness of Multimodal Networks," Phys. Rev. E 74, 016125 (2006). PDF
  75. G. M. Viswanathan, V. Afanasyev, S. V. Buldyrev, E. J. Murphy, P. A. Prince, and H. E. Stanley, "Levy Flight Search Patterns of Wandering Albatrosses," Nature 381, 413-415 (1996). PDF [Citations: 235]
  76. G. M. Viswanathan, S. V. Buldyrev, S. Havlin, M. G. da Luz, E. Raposo, and H. E. Stanley, "Optimizing the Success of Random Searches," Nature 401, 911-914 (1999). PDF [Citations: 201]
  77. G. M. Viswanathan, V. Afanasyev, S. V. Buldyrev, S. Havlin, M. G. E. da Luz, E. P. Raposo, and H. E. Stanley, "Levy Flights in Random Searches" [mini-review] Physica A 282, 1-12 (2000). PDF
  78. Z. Wu, E. Lopez, S. V. Buldyrev, L. A. Braunstein, S. Havlin, and H. E. Stanley, "Current Flow in Random Resistor Networks: The Role of Percolation in Weak and Strong Disorder," Phys. Rev. E (Rapid Communications) 71, 045101 (2005). PDF
  79. Z. Wu, L. A. Braunstein, S. Havlin, and H. E. Stanley, "Transport in Weighted Networks: Partition into Superhighways and Roads," Phys. Rev. Lett. 96, 148702 (2006). PDF
  80. Z. Wu, L. A. Braunstein, V. Colizza, R. Cohen, S. Havlin and H. E. Stanley, "Optimal Paths in Complex Networks with Correlated Weights: The Worldwide Airport Network," Phys. Rev. E 74, 056104 (2006). PDF
  81. Z. Wu. C, Lagorio, L. A. Braunstein, R. Cohen, S. Havlin, and H. E. Stanley, "Numerical Evaluation of the Upper Critical Dimension of Percolation in Scale-Free Networks," Phys. Rev. E 75, 066110 (2007). PDF
  82. K. Yamasaki, A. Gozolchiani, and S. Havlin, "Climate Networks around the Globe Are Significantly Affected by El Nino," Phys. Rev. Lett. 100, 228501 (2008). PDF