Download Algorithms and Models for the Web-Graph: Fourth by William Aiello, Andrei Broder, Jeannette Janssen, Evangelos PDF

By William Aiello, Andrei Broder, Jeannette Janssen, Evangelos Milios

This ebook includes the revised papers of the Fourth foreign Workshop on Algorithms and versions for the Web-Graph. It covers quite a lot of issues within the learn of the Web-graph akin to algorithms, PageRank research and computational in addition to clustering.

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Read or Download Algorithms and Models for the Web-Graph: Fourth International Workshop, WAW 2006, Banff, Canada, November 30 - December 1, 2006. Revised Papers PDF

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Extra info for Algorithms and Models for the Web-Graph: Fourth International Workshop, WAW 2006, Banff, Canada, November 30 - December 1, 2006. Revised Papers

Example text

Such a tour exists because doubling every edge of T makes the degree of every vertex even. For any set S, let IS ∈ {0, 1}2(n−1) be the incidence vector with IS (i) = 1 iff ei ∈ E(T [S]). Let e(IS ) = |{i : IS (i) = IS (i + 1)}| denote the number of times the Euler tour crosses the boundary of S. There is ¯ and e(IS ). Since each edge of T appears a direct relationship between eT (S, S) twice in W , ¯ ≥ eT (S, S) ¯ ≥ e(IS )/2. eG¯ (S, S) (1) To obtain a bound on the expected value of the sum S:|S|=s ZS , let Ss,k = {S : |S| = s, e(IS ) = k} denote the collection of sets S of size s for which T crosses the boundary of S exactly k times.

However, there have been no analyses of the web structure based on recent web pages from all over the world. Here, we report the web structure computed from 3 billion web pages crawled between Jan. 2004 and Oct. 2005. The remainder of this paper is organized as follows. In section 2, we describe the e-Society Project[5] funded by the Japanese government. We analyzed the Currently working at Mitsubishi Electric Corporation. W. Aiello et al. ): WAW 2006, LNCS 4936, pp. 36–46, 2008. c Springer-Verlag Berlin Heidelberg 2008 Web Structure in 2005 37 web structure based on the data of web pages crawled by the e-Society Project.

J. Combin. Theory Ser. B 38(1), 73–88 (1985) 15. : Eigenvalues and expanders. , 1984)) 16. : Approximate counting, uniform generation and rapidly mixing Markov chains. Inform. and Comput. 82(1), 93–133 (1989) 17. : Bounds on the L2 spectrum for Markov chains and Markov processes: A generalization of Cheeger’s inequality. Trans. Amer. Math. Soc. 309(2), 557–580 (1988) 18. : The eigenvalues of random symmetric matrices. Combinatorica 1(3), 233–241 (1981) 19. : On the second eigenvalue of random regular graphs.

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