Abstract
The pages on the World Wide Web and their hyperlinks induce a huge directed graph – the Web Graph. Many models have been brought up to explain the static and dynamic properties of the graph. Most of them pay much attention to the pages without considering their essential relations. In fact, Web pages are well organized in Web sites as a tree hierarchy. In this paper, we propose a hierarchical model of Web graph which exploits both link structure and hierarchical relations of Web pages. The analysis of the model reveals many properties about the evolution of pages, sites and the relation among them.
This project is supported by National Foundation of Science of China (No.60473122).
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References
Kleinberg, J.: Authoritative sources in a hyperlinked enviroment. Journal of the ACM 46, 604–632 (1999)
Brin, S., Lawrence Page, R., Winopgrad, T.: The pagerank citation ranking: Bring order to the web. Techinical report, Computer Science Department, Stanford University (1998)
Bollobás, B.: Random Graphs. Academic Press, London (1985)
Aiello, W., Chung, F., Lu, L.: A random graph model for massive graphs. In: Proceedings of ACM Symposium on Theory of Computing, pp. 171–180 (2000)
Bollobás, B., Riordan, O., Spencer, J., Tusnády, G.: The degree sequence of a scale-free random graph process. Random Structures Algorithms 18, 279–290 (2001)
Kumar, R., Raghavan, P., Rajagopalan, S., Sivakumar, D., Tomkins, A., Upfal, E.: Stochastic models for the web graph. In: FOCS 2000: Proceedings of the 41st Annual Symposium on Foundations of Computer Science, Washington, p. 57. IEEE Computer Society, Los Alamitos (2000)
Bonato, A.: A survey of models of the web graph. In: López-Ortiz, A., Hamel, A.M. (eds.) CAAN 2004. LNCS, vol. 3405, pp. 159–172. Springer, Heidelberg (2005)
Kumar, R., Raghavan, P., Rajagopalan, S., Sivakumar, D., Tompkins, A., Upfal, E.: The web as a graph. In: Proceedings of the nineteenth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems, pp. 1–10 (2000)
Broder, A., Kumar, R., Maghoul, F., Raghavan, P., Rajagopalan, S., Stata, R., Tomkins, A., Wiener, J.: Graph structure in the web. Comput. Networks 33, 309–320 (2000)
Bharat, K., Chang, B.W., Henzinger, M.R., Ruhl, M.: Who links to whom: Mining linkage between web sites. In: Proceedings of the 2001 IEEE International Conference on Data Mining, pp. 51–58 (2001)
Liu, G., Yu, Y., Han, J., Xue, G.: China web graph measurements and evolution. In: Zhang, Y., Tanaka, K., Yu, J.X., Wang, S., Li, M. (eds.) APWeb 2005. LNCS, vol. 3399, pp. 668–679. Springer, Heidelberg (2005)
Watts, D.J., Strogatz, S.H.: Collective dynamics of ‘small-world’ networks. Nature 393, 440–442 (1998)
Albert, R., Jeong, H., Barabasi, A.-L.: Diameter of the world wide web. Nature 401, 130–131 (1999)
Eiron, N., McCurley, K.S.: Locality, hierarchy, and birectionality in the web. In: Second Workshop on Algorithms and Models for the Web-graph (2003)
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Han, J., Yu, Y., Lin, C., Han, D., Xue, GR. (2006). A Hierarchical Model of Web Graph. In: Li, X., Zaïane, O.R., Li, Z. (eds) Advanced Data Mining and Applications. ADMA 2006. Lecture Notes in Computer Science(), vol 4093. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11811305_86
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DOI: https://doi.org/10.1007/11811305_86
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