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ISERP -- Columbia University

Six Degrees Class


Additional Readings


Books

  • A-L Barabasi. Linked: The New Science of Networks (Perseus, 2002)
  • M. Buchanan. Nexus: Small Worlds and the Groundbreaking Science of Networks (W. W. Norton, 2002)
  • S. H. Strogatz. Sync: The Emerging Science of Spontaneous Order (Hyperion, 2003)
  • D. J. Watts. Small Worlds: The Dynamics of Networks Between Order and Randomness (Princeton, 1999)

Review Papers

  • R. Albert and A-L Barabasi. Statistical mechanics of complex networks, Review of Modern Physics 74, 47-97 (2002)
  • M. E. J. Newman. SIAM Review 45, 167-256 (2003).
  • S. H. Strogatz. Exploring complex networks. Nature 410: 268-276 (2001).
  • D. J. Watts. The New Science of Networks. Annual Review of Sociology, 30, 243-270 (2004).

Complexity, Phase Transitions and Universality

  • M. Newman and G. Barkema. Monte Carlo Methods in Statistical Physics (Oxford, Clarendon Press, 1999), Chapter 1.
  • R. Palmer. Broken ergodicity. In D. Stein (Ed.) Lectures in the Science of Complexity, SFI Studies in the Sciences of Complexity, Volume 1, 275-300 (Addison Wesley Longman, 1989).
  • D. Stein. Disordered systems: mostly spin glasses. In D. Stein (Ed.) Lectures in the Science of Complexity, SFI Studies in the Sciences of Complexity, Volume 1, 301-353 (Addison Wesley Longman, 1989).

Random graphs

  • D. J. Watts. Small Worlds: The Dynamics of Networks Between Order and Randomness (Princeton, Princeton University Press, 1999), Chapter 2.
  • M. E. J. Newman, S. H. Strogatz, and D. J. Watts. Random graphs with arbitrary degree distributions and their applications. Physical Review E, 64, 026118 (2001).
  • M. E. J. Newman, D. J. Watts, and S. H. Strogatz. Random graph models of social networks. Proceedings of the National Academy of Sciences, 99, 2566-2572 (2002).
  • A. Rapoport. A contribution to the theory of random and biased nets. Bulletin of Mathematical Biophysics 19, 257-271 (1957). Also in S. Leinhardt (ed.) Social Networks: A Developing Paradigm, 389-409 (New York, Academic Press, 1977).
  • A. Rapoport. Mathematical Models of Social Interaction. In R. D. Luce, R. R. Bush, and E. Galanter (Eds.) Handbook of Mathematical Psychology, Vol. 2, 493-579 (New York, Wiley, 1963).

Social Network Analysis

  • Berkowitz, S. D., 1982. An Introduction to Structural Analysis: The Network Approach to Social Research. Toronto: Butterworth's.
  • R. Burt. Structural Holes. The Social Structure of competition. Chapter 1 (Harvard University Press, 1992).
  • Degenne, Alain and Michel Forse, 1999. Introducing Social Networks. Thousand Oaks, CA: Sage Publications.
  • Freeman, Linton C., 2004. The Development of Social Network Analysis: A Study in the Sociology of Science. Vancouver, Canada: Empirical Press.
    Available for purchase online here
  • S. Milgram, The small world problem. Psychology Today 2, 60-67 (1967).
  • Monge, Peter R. and Noshir S. Contractor, 2003. Theories of Communication Networks. New York: Oxford University Press.
  • M. E. J. Newman. The structure of scientific collaboration networks. Proceedings of the National Academy of Sciences, 98(2), 404-409 (2001).
  • M. E. J. Newman Scientific collaboration networks: I and II. Physical Review E, 64, 016131 and 016132 (2001).
  • Scott, John, 2000. Social Network Analysis: A Handbook. London: Sage Publications.
  • Wasserman, S., and K. Faust, 1994. Social Network Analysis: methods and applications. CUP.
  • Wellman, Barry and S. D. Berkowitz (eds.), 1997. Social Structures: A Network Approach. JAI Press reprint edition.

Searching on Networks


Scale Free Networks

  • D. S. Callaway, M. E. J. Newman, S. H. Strogatz, and D. J. Watts. Exact solution of percolation on random graphs with arbitrary degree distributions. Physical Review Letters 85, 5468-5471 (2000).
  • Krapivsky, P. L., S. Redner, et al. Connectivity of growing random networks. Physical Review Letters 85(21): 4629-4632. (2000)
  • Krapivsky, P. L. and S. Redner. Organization of growing random networks. Physical Review E 6306(6): art. no.-066123 (2001)
  • D. Price. Networks of scientific papers. Science, 149, 510-515 (1965)
  • Price, D. J. A general theory of bibliometric and other cumulative advantage processes. J. Amer. Soc. Inform. Sci. 27: 292-306 (1980)

Disease Spreading

  • M. Kretschmar and M. Morris. Measures of Concurrency in Networks and the Spread of Infectious Disease. Mathematical Biosciences 133: 165-195 (1996)
  • M. Morris. Telling tails explain the discrepancy in sexual partner reports. Nature. 1993 Sep 30;365(6445):437-40.
  • Newman, M. E. J. Assortative mixing in networks. Physical Review Letters 89(20): art. no.-208701 (2002)
  • Pastor-Satorras, R. and A. Vespignani Epidemic spreading in scale-free networks. Physical Review Letters 86(14), 3200-3203 (2001).

Social Contagion

  • Bikhchandani, S., D. Hirshleifer, et al. A Theory of Fads, Fashion, Custom, and Cultural Change as Informational Cascades. Journal of Political Economy 100(5): 992-1026 (1992)
  • Bikhchandani, S., D. Hirshleifer, et al. Learning from the Behavior of Others: Conformity, Fads, and Informational Cascades. The Journal of Economic Perspectives 12(3): 151-170 (1998)
  • S. C. Dodd. Formulas for Spreading Opinions. Public Opinion Quarterly, 22(4), 537-554 (1958).
  • M. Gladwell. The Tipping Point (Little Brown, 2000)
  • E. Katz and P. F. Lazarsfeld. Personal Influence (Free Press, 1955)
  • S. Lohmann. The dynamics of information cascades: The Monday demonstrations in Leipzig, East Germany, 1989-91. World Politics, 47, 42-101 (1994).
  • T. Schelling. Hockey helmets, concealed weapons, and daylight saving: A study of binary choices with externalities. Journal of Conflict Resolution, 17(3), 381-428 (1973). Also reprinted in T. Schelling. Micomotives and Macrobehavior, Chapter 7. (Norton, 1978)

Organizations, Problem Solving, and Robustness

  • Granovetter, Mark S. Economic action and social structure: The problem of embeddedness. American Journal of Sociology, 91: 481-510 (1985).
  • J. P. MacDuffie. Organizational influences on process quality improvement: Shop-floor problem-solving in auto assembly plants. Management Science, 43, 4 (1997).
  • T. Nishiguchi and A. Beaudet. Fractal design: Self-organizing links in supply chain management. In Nonaka et al. (Eds.) Knowledge Creation: A New Source of Value (London, Macmillan, 1999).
  • W. Powell and P. DiMaggio (Eds.) The New Institutionalism in Organizational Analysis (University of Chicago Press, 1991).
  • R. Radner. Bounded rationality, Indeterminacy, and the theory of the firm. The Economic Journal 106, 1360-1373 (1996).
  • A. Ward, J. K. Liker, J. J. Cristiano, and D. K. Sobek. The second Toyota paradox: How delaying decisions can make better cars faster. Sloan Management Review, 36(3), 43-51 (1995).
  • O. E. Williamson. Transaction cost economics and organization theory. In N. J. Smelser and R. Swedberg (Eds.) The Handbook of Economic Sociology (Princeton, Princeton University Press, 1994).

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