Abstract
The World Wide Web is growing rapidly and revolutionizing the means of information access. It can be modeled as a directed graph in which a node represents a Web page and an edge represents a hyperlink. Currently the number of nodes in this gigantic Web graph is over four billion and is growing by more than seven million nodes a day—without any centralized control. The study of this graph is essential for designing efficient algorithms for crawling, searching, and ranking Web resources. Knowledge of the structure of the Web graph can be also exploited for attaining efficiency and comprehensiveness in Web navigation. This paper describes algorithms for graph-theoretic analysis of the Web.
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References
Adamic, L., Huberman, B.: Technical comment to ‘Emergence of scaling in random networks’. Science, Vol. 287. (Mar. 2000) 2115
Bar-Yossef, Z., Berg, A., Chien, S., Fakcharoenphol, J., Weitz, D.: Approximating aggregate queries about Web pages via random walks. Proceedings of the 26th Int. Conf. on Very Large Databases, Cairo, Egypt (Sept. 10-14, 2000) 535–544
Barabási, A., Albert, R.: Emergence of scaling in random networks. Science, Vol. 286. (Oct. 1999) 509–512
Bharat, K., Henzinger, M.: Improved algorithms for topic distillation in a hyperlinked environment. Proceedings of the 21st ACM SIGIR Conf. on Research and Development in Information Retrieval, Melbourne, Australia (Aug. 24-28, 1998) 104–111
Broder, A., Kumar, R., Maghoul, F., Raghavan, P., Rajagopalan, S., Stata, R., Tomkins, A., Wiener, J.: Graph structure in the Web: Experiments and models. Proceedings of the 9th Int. WWW Conf., Amsterdam, The Netherlands (May 15-19, 2000)
Dean, J., Henzinger, M.: Finding related pages in the World Wide Web. Proceedings of the 8th Int. WWW Conf., Toronto, Canada (May 11-14, 1999)
Deo, N.: Graph Theory with Applications to Engineering and Computer Science. Prentice-Hall, Englewood Cliffs, NJ (1974)
Deo, N, Gupta, P.: World Wide Web: A graph-theoretic perspective. Technical Report CSTR-01-001, School of Computer Science, University of Central Florida, Orlando, FL (Mar. 2001) (http://www.cs.ucf.edu/~pgupta/publication.html)
Erdös, P., Rényi, A.: On the evolution of random graphs. Publications of the Mathematical Institute of the Hungarian Academy of Sciences, Vol. 5. (1960) 17–61
Gibson, D., Kleinberg, J., Raghavan, P.: Structural analysis of the World Wide Web. WWW Consortium Web Characterization Workshop, Cambridge, MA (Nov. 5, 1998)
Huberman, B., Adamic, L.: Growth dynamics of the World-Wide Web. Nature, Vol. 401. (Sept. 1999) 131
Kleinberg, J.: The small-world phenomenon: an algorithmic perspective. Technical Report 99-1776, Department of Computer Science, Cornell University, Ithaca, NY (Oct. 1999)
Kleinberg, J., Kumar, R., Raghavan, P., Rajagopalan, S., Tomkins, A.: The Web as a graph: Measurements, models and methods, Lecture Notes in Computer Science, Vol. 1627. Springer-Verlag, Berlin Heidelberg New York (July 1999) 1–17
Kumar, R., Raghavan, P., Rajagopalan, S., Tomkins, A.: Trawling the Web for emerging cyber-communities. Proceedings of the 8th Int. WWW Conf., Toronto, Canada (May 11-14, 1999)
Moore, A., Murray, B. H.: Sizing the Web. Cyveilliance, Inc. White Paper, (July 10, 2000) (http://www.cyveillance.com/resources/7921S_Sizing_the_Internet.pdf)
Newman, M. E. J., Moore, C., Watts, D.: Mean-field solution of the small-world network model. Working Paper 99-09-066, Santa Fe Institute, Santa Fe, NM (Sept. 1999)
Page, L., Brin, S., Motwani, R., Winograd, T.: The PageRank citation ranking: Bringing order to the Web. Stanford Digital Library Project, Working Paper SIDL-WP-1999-0120, Stanford University, CA (1999)
Pirolli, P., Pitkow, P., Rao, R.: Silk from a sow’racting usable structures from the Web. Proceedings of the ACM Conf. on Human factors in Computing, Vancouver, Canada (Apr. 13-18, 1996) 118–125
Rafiei, D., Mendelzon, A.: What is this page known for?ng Web page reputations. Proceedings of the 9th Int. WWW Conf., Amsterdam, The Netherlands (May 15-19, 2000)
Watts, D.: Small Worlds: The Dynamics of Networks between Order and Randomness. Princeton University Press, Princeton, NJ (1999)
Zhang, D., Dong, Y.: An efficient algorithm to rank Web resources. Proceedings of the 9th Int. WWW Conf., Amsterdam, The Netherlands (May 15-19, 2000)
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Deo, N., Gupta, P. (2001). Graph-Theoretic Web Algorithms: An Overview. In: Böhme, T., Unger, H. (eds) Innovative Internet Computing Systems. IICS 2001. Lecture Notes in Computer Science, vol 2060. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48206-7_8
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DOI: https://doi.org/10.1007/3-540-48206-7_8
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