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Unit 11

Connecting with Networks

Bibliography

WEBSITES

http://www.foodwebs.org/

PRINT

Barabási, Albert-László. Linked: The New Science of Networks. Cambridge, MA: Perseus Publishing, 2002.

Brose U., E.L. Berlow, and N.D. Martinez. "Scaling Up Keystone Effects From Simple to Complex Ecological Networks," Ecology Letters, vol. 8, no. 12 (December 2005).

Brose, U., R.J. Williams, and N.D. Martinez. "Comment on Foraging Adaptation and the Relationship Between Food-Web Complexity and Stability," Science, vol. 301, no. 5635 (August 2003).

Buchanan, Mark. Nexus: Small Worlds and the Groundbreaking Science of Networks. New York: W.W. Norton and Company, 2002.

Colinvaux, Paul. Why Big Fierce Animals Are Rare: An Ecologist's Perspective. (Princeton Science Library) Princeton, NJ: Princeton University Press, 1978.

Erdös, Paul and Alfréd Rényi. "On the Evolution of Random Graphs," Publications of the Mathematical Institute of the Hungarian Academy of Sciences, Series A 5 (1960).

Goh, Kwang-II, Eulsik Oh, Hawoong Jeong, Byungnam Kahng, and Doochul Kim. "Classification of Scale-Free Networks," Proceedings of the National Academy of Science, USA, vol. 99, no. 20 (October 2002).

Hartsfield, Nora and Gerhard Ringel. Pearls in Graph Theory: A Comprehensive Approach. San Diego, CA: Academic Press, 1990.

Hill, S., D. Agarwal, R. Bell, and C. Volinsky. "Building an Effective Representation for Dynamic Networks," Journal of Computational and Graphical Statistics, vol. 25 (2006).

Latora V. and M. Marchiori. "Is the Boston Subway a Small-World Network?" Physica A, vol. 314, no. 1 (1 November 2002).

Liben-Nowell, D., J. Novak, R. Kumar, P. Raghavan, and A. Tomkins."Geographic Routing in Social Networks," Proceedings of the National Academy of Sciences, USA, vol. 102, no. 33 (2005).

Martinez, N.D. "Effects of Resolution on Food Web Structure," Oikos, 66 (1993).

Martinez, N.D. "Scale-Dependent Constraints on Food-Web Structure," American Naturalist, 144 (1994).

Milgram, S. "The Small-World Problem," Psychology Today, vol. 1, no. 1 (1967).

Montoya, José M., Stuart L. Pimm, and Ricard V. Solé. "Ecological Networks and Their Fragility," Nature, 442 (20 July 2006)

Newman, James R. Volume 1 of The World of Mathematics: A Small Library of the Literature of Mathematics from A'h-mose the Scribe to Albert Einstein, Presented with Commentaries and Notes. New York: Simon and Schuster, 1956.

Newman, M.E.J., D.J. Watts, and S. H. Strogatz. "Random Graph Models of Social Networks," Proceedings of the National Academy of Sciences, USA, vol. 99, Supplement 1 (2002).

Proulx, Stephen R., Daniel E.L. Promislow, and Patrick C. Phillips. "Network Thinking in Ecology and Evolution," Trends in Ecology and Evolution, vol. 20, no. 6 (2005).

Schechter, Bruce. My Brain Is Open: The Mathematical Journeys of Paul Erdös. New York: Touchstone (Simon and Schuster, Inc.), 2000.

Skyrms, Brian and Robin Pemantle. "A Dynamic Model of Social Network Formation," Proceedings of the National Academy of Sciences, USA, vol. 97, no. 16 (August 1, 2000).

Springer, A.M., J.A. Estes, G.B. van Vliet, T.M. Williams, D.F. Doak, E.M. Danner, K.A. Forney, and B. Pfister. "Sequential Megafaunal Collapse in the North Pacific Ocean: An Ongoing Legacy of Industrial Whaling?" Proceedings of the National Academy of Sciences, USA, vol. 100, no. 21 (October 2003).

Steinberg, PD, J.A. Estes, and F.C. Winter. "Evolutionary Consequences of Food Chain Length in Kelp Forest Communities," Proceedings of the National Academy of Sciences, USA, vol. 92 (1995).

Tannenbaum, Peter. Excursions in Modern Mathematics, 5th ed. Upper Saddle River, NJ: Pearson Education, Inc., 2004.

Wallis, W.D. A Beginner's Guide to Graph Theory. New York: Birkhauser Boston, 2000.

Watts, Duncan. Six Degrees: The Science of the Connected Age. New York: W.W. Norton and Co., 2003.

Watts, Duncan. Small Worlds: The Dynamics of Networks Between Order and Randomness. (Princeton Studies in Complexity). Princeton, NJ: Princeton University Press, 1999.

Watts, D.J. and S.H. Strogatz. "Collective Dynamics of Small-World Networks," Nature 393 (1998).

Williams, R.J., E.L. Berlow, J.A. Dunne, A.-L. Barabási, and N.D. Martinez. "Two Degrees of Separation in Complex Food Webs," Proceedings of the National Academy of Sciences, USA, vol. 99, no. 20 (2002).

LECTURE

D'Souza, R.M. "The Science of Complex Networks." CSE Seminar at University of California - Davis, February 2006. http://mae.ucdavis.edu/dsouza/talks.html (accessed 2007).

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