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References Outline References References References References Complex Networks, Course 295A, Spring, 2008 Prof. Peter Dodds Department of Mathematics & Statistics References University of Vermont Licensed under the Creative Commons


  1. References Outline References References References References Complex Networks, Course 295A, Spring, 2008 Prof. Peter Dodds Department of Mathematics & Statistics References University of Vermont Licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License . Frame 1/14 Frame 2/14 References I References References II References P . M. Blau and J. E. Schwartz. References References R. Albert, H. Jeong, and A.-L. Barabási. Crosscutting Social Circles . Academic Press, Orlando, FL, 1984. Error and attack tolerance of complex networks. Nature , 406:378–382, July 2000. pdf ( ⊞ ) R. L. Breiger. The duality of persons and groups. J. R. Banavar, A. Maritan, and A. Rinaldo. Social Forces , 53(2):181–190, 1974. Size and form in efficient transportation networks. Nature , 399:130–132, 1999. pdf ( ⊞ ) J. Carlson and J. Doyle. Highly optimized tolerance: A mechanism for power laws in design systems. A.-L. Barabási and R. Albert. Phys. Rev. Lett. , 60(2):1412–1427, 1999. pdf ( ⊞ ) Emergence of scaling in random networks. Science , 286:509–511, 1999. pdf ( ⊞ ) J. Carlson and J. Doyle. Highly optimized tolerance: Robustness and design in complex systems. A. Bejan. Phys. Rev. Lett. , 84(11):2529–2532, 2000. pdf ( ⊞ ) Shape and Structure, from Engineering to Nature . Cambridge Univ. Press, Cambridge, UK, 2000. E. Castronova. Synthetic Worlds: The Business and Culture of Online Games . L. M. A. Bettencourt, J. Lobo, D. Helbing, Kühnhert, and G. B. West. University of Chicago Press, Chicago, IL, 2005. Growth, innovation, scaling, and the pace of life in cities. Proc. Natl. Acad. Sci. , 104(17):7301–7306, 2007. pdf ( ⊞ ) A. Clauset, C. Moore, and M. E. J. Newman. Structural inference of hierarchies in networks, 2006. pdf ( ⊞ ) S. Bikhchandani, D. Hirshleifer, and I. Welch. A theory of fads, fashion, custom, and cultural change as informational cascades. A. Clauset, M. Young, and K. S. Gleditsch. J. Polit. Econ. , 100:992–1026, 1992. On the Frequency of Severe Terrorist Events. Journal of Conflict Resolution , 51(1):58–87, 2007. pdf ( ⊞ ) S. Bikhchandani, D. Hirshleifer, and I. Welch. Learning from the behavior of others: Conformity, fads, and informational cascades. H. de Vries, T. Becker, and B. Eckhardt. J. Econ. Perspect. , 12(3):151–170, 1998. pdf ( ⊞ ) Power law distribution of discharge in ideal networks. Frame 3/14 Frame 4/14 Water Resources Research , 30(12):3541–3543, December 1994.

  2. References III References References IV References P . S. Dodds and D. H. Rothman. References References R. Ferrer i Cancho and R. Solé. Unified view of scaling laws for river networks. Physical Review E , 59(5):4865–4877, 1999. pdf ( ⊞ ) The small world of human language. Proc. R. Soc. Lond. B , 26:2261–2265, 2001. pdf ( ⊞ ) P . S. Dodds and D. H. Rothman. M. T. Gastner and M. E. J. Newman. Geometry of river networks. II. Distributions of component size and number. Physical Review E , 63(1):016116, 2001. pdf ( ⊞ ) Diffusion-based method for producing density-equalizing maps. Proc. Natl. Acad. Sci. , 101:7499–7504, 2004. pdf ( ⊞ ) P . S. Dodds and D. H. Rothman. M. T. Gastner and M. E. J. Newman. Geometry of river networks. III. Characterization of component connectivity. Physical Review E , 63(1):016117, 2001. pdf ( ⊞ ) Optimal design of spatial distribution networks. Phys. Rev. E , 74:Article # 016117, 2006. pdf ( ⊞ ) P . S. Dodds, D. H. Rothman, and J. S. Weitz. M. Gladwell. Re-examination of the “3/4-law” of metabolism. Journal of Theoretical Biology , 209:9–27, 2001. pdf ( ⊞ ) The Tipping Point . Little, Brown and Company, New York, 2000. S. Douady and Y. Couder. J. P . Gleeson and D. J. Cahalane. Phyllotaxis as a dynamical self organizing process Part I: The spiral modes resulting from Seed size strongly affects cascades on random networks. time-periodic iterations. Phys. Rev. E , 75:Article # 056103, 2007. pdf ( ⊞ ) J. Theor. Biol. , 178:255–274, 1996. S. Douady and Y. Couder. N. Goldenfeld. Phyllotaxis as a dynamical self organizing process Part II: The spontaneous formation of a Lectures on Phase Transitions and the Renormalization Group , volume 85 of Frontiers in Physics . periodicity and the coexistence of spiral and whorled patterns. Addison-Wesley, Reading, Massachusetts, 1992. J. Theor. Biol. , 178:275–294, 1996. M. Granovetter. S. Douady and Y. Couder. Threshold models of collective behavior. Phyllotaxis as a dynamical self organizing process Part III: The simulation of the transient regimes Am. J. Sociol. , 83(6):1420–1443, 1978. pdf ( ⊞ ) of ontogeny. Frame 5/14 Frame 6/14 J. Theor. Biol. , 178:295–312, 1996. References V References References VI References M. Kearns, S. Suri, and N. Montfort. References References J. T. Hack. An experimental study of the coloring problem on human subject networks. Science , 313:824–827, 2006. pdf ( ⊞ ) Studies of longitudinal stream profiles in Virginia and Maryland. United States Geological Survey Professional Paper , 294-B:45–97, 1957. J. W. Kirchner. A. A. Heusner. Statistical inevitability of Horton’s laws and the apparent randomness of stream channel networks. Geology , 21:591–594, July 1993. Size and power in mammals. Journal of Experimental Biology , 160:25–54, 1991. J. M. Kleinberg. C. A. Hidalgo, B. Klinger, A.-L. Barabási, and R. Hausman. Authoritative sources in a hyperlinked environment. Proc. 9th ACM-SIAM Symposium on Discrete Algorithms , 1998. pdf ( ⊞ ) The product space conditions the development of nations. Science , 317:482–487, 2007. pdf ( ⊞ ) P . L. Krapivsky and S. Redner. R. E. Horton. Organization of growing random networks. Phys. Rev. E , 63:066123, 2001. pdf ( ⊞ ) Erosional development of streams and their drainage basins; hydrophysical approach to quatitative morphology. M. Kretzschmar and M. Morris. Bulletin of the Geological Society of America , 56(3):275–370, 1945. Measures of concurrency in networks and the spread of infectious disease. N. F . Johnson, M. Spagat, J. A. Restrepo, O. Becerra, J. C. Bohorquez, N. Suarez, E. M. Math. Biosci. , 133:165–95, 1996. Restrepo, and R. Zarama. L. B. Leopold. Universal patterns underlying ongoing wars and terrorism, 2006. pdf ( ⊞ ) A View of the River . E. Katz and P . F . Lazarsfeld. Harvard University Press, Cambridge, MA, 1994. Personal Influence . A. J. Lotka. The Free Press, New York, 1955. The frequency distribution of scientific productivity. S. Kauffman. Journal of the Washington Academy of Science , 16:317–323, 1926. The Origins of Order . B. B. Mandelbrot. Oxford, 1993. Frame 7/14 Frame 8/14 An informational theory of the statistical structure of languages. In W. Jackson, editor, Communication Theory , pages 486–502. Butterworth, Woburn, MA, 1953.

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