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: 542]
  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: 124]
  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: 63]
  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 of 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. 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
  13. 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
  14. 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
  15. 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: 353]
  16. 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: 179]
  17. 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
  18. R. Cohen and S. Havlin, "Scale-Free Networks are Ultrasmall," Phys. Rev. Lett. 90, 058701 (2003). PDF [Citations: 86]
  19. R. Cohen, D. ben-Avraham, and S. Havlin, "Percolation Critical Exponents in Scale-Free Networks," Phys. Rev. E 66, 036113 (2002). PDF [Citations: 49]
  20. 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
  21. R. Cohen, S. Havlin, and D. ben-Avraham, "Efficient Immunization Strategies for Computer Networks and Populations," Phys. Rev. Lett. 91, 247901 (2003). PDF [Citations: 59]
  22. 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
  23. L. K. Gallos, F. Liljeros, P. Argyrakis, A. Bunde, and S. Havlin, "Improving Immunization Strategies," Phys. Rev. E 75, 045104 (2007). PDF
  24. 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
  25. 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
  26. 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
  27. 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
  28. W.-S. Jung, F. Wang, and H. E. Stanley, "Gravity Model in the Korean Highway," Europhys. Lett. 81, 48005 (2008). PDF
  29. 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
  30. 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
  31. 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
  32. T. Keitt and H. E. Stanley, "Scaling in the Dynamics of North American Breeding-Bird Populations," Nature 393, 257-259 (1998). PDF
  33. 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
  34. G. Li, L. A. Braunstin, S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Percolation and Transport in Weighted Networks," Phys. Rev. E Rapid Communications 75, 045103 (2007). PDF
  35. 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: 321]
  36. 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
  37. E. Lopez, S. V. Buldyrev, S. Havlin, and H. E. Stanley, "Anomalous Transport in Scale-Free Networks," Phys. Rev. Lett. 94, 248701 (2005). PDF
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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
  43. G. Paul, S. Sreenivasan, S. Havlin, and H. E. Stanley, "Optimization of Network Robustness to Random Breakdowns," Physica A 370, 854-862 (2006). PDF
  44. G. Paul, S. Sreenivasan, and H. E. Stanley, "Resilience of Complex Networks to Random Breakdown," Phys. Rev. E 72, 056130 (2005). PDF
  45. G. Paul, R. Cohen, S. Sreenivasan, S. Havlin, and H. E. Stanley, "Graph Partitioning Induced Phase Transitions," Phys. Rev. Lett. 99, 115701 (2007). PDF
  46. E. Perlsman and S. Havlin, "Stability of Directed Min-Max Optimal Paths," Europhys. Lett. 77, 20003 (2007). PDF
  47. A. F. Rozenfeld, R. Cohen, D. ben-Avraham, and S. Havlin, "Scale-Free Networks on Lattices," Phys. Rev. Lett. 89, 218701 (2002). PDF [Citations: 59]
  48. H. D. Rozenfeld, S. Havlin, and D. Ben-Avrraham, "Fractal and Transfractal Recursive Scale-Free Nets," New J. Phys. 9, 175 (2007). PDF
  49. 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
  50. C. Song, S. Havlin, and H. A. Makse, "Self-Similarity of Complex Networks," Nature 433, 392-395 (2005). PDF
  51. 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
  52. 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
  53. 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
  54. 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
  55. 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
  56. 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
  57. 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
  58. T. Tanizawa, G. Paul, S. Havlin, and H. E. Stanley, "Optimization of the Robustness of Multimodal Networks," Phys. Rev. E 74, 016125 (2006). PDF
  59. 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
  60. 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
  61. 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
  62. 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
  63. 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
  64. 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
  65. 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