Get Algorithms and Models for the Web-Graph: 5th International PDF

By Abraham D. Flaxman, Juan Vera (auth.), Anthony Bonato, Fan R. K. Chung (eds.)

ISBN-10: 3540770038

ISBN-13: 9783540770039

This booklet constitutes the refereed lawsuits of the fifth overseas Workshop on Algorithms and versions for the Web-Graph, WAW 2007, held in San Diego, CA, united states, in December 2007 - colocated with WINE 2007, the 3rd foreign Workshop on net and community Economics.

The thirteen revised complete papers and 5 revised brief papers provided have been rigorously reviewed and chosen from a wide pool of submissions for inclusion within the ebook. The papers tackle a large choice of issues relating to the learn of the Web-graph equivalent to random graph versions for the Web-graph, PageRank research and computation, decentralized seek, neighborhood partitioning algorithms, and traceroute sampling.

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Read Online or Download Algorithms and Models for the Web-Graph: 5th International Workshop, WAW 2007, San Diego, CA, USA, December 11-12, 2007. Proceedings PDF

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Extra info for Algorithms and Models for the Web-Graph: 5th International Workshop, WAW 2007, San Diego, CA, USA, December 11-12, 2007. Proceedings

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Gonen et al. 14. : On power-law relationships of the Internet topology. In: Proc. of ACM SIGCOMM 1999, pp. 251–260 (August 1999) 15. : The dense k-subgraph problem. Algorithmica 29(3), 410– 421 (2001) 16. : Approximation algorithms for maximization problems arising in graph partitioning. Journal of Algorithms 41, 174–211 (2001) 17. : On the densest k-subgraph problem. Technical report, Department of Applied Mathematics and Computer Science, The Weizmann Institute, Rehovot (1997) 18. : On the hierarchical structure of the logical Internet graph.

Now the behavior of πIN+SCC (c) in Figure 3 can be explained by means of the next proposition. Proposition 2. The term ||˜ πIN+SCC (c)|| given by (15) has exactly one local maximum at some c0 ∈ [0, 1]. Moreover, ||˜ πIN+SCC (c)|| < 0 for c ∈ (c0 , 1]. We conclude that ||˜ πIN+SCC (c)|| is decreasing and concave for c ∈ [c0 , 1], where ||˜ πIN+SCC (c0 )|| = 0. This is exactly the behavior we observe in the experiments. 85 and actually is quite close to one. Thus, one may want to choose large c in order to maximize the PageRank mass of IN+SCC.

The role of α: This parameter was introduced in [24] as a means of overcoming a difficult technical problem. When α > 2 it facilitates a proof of Lemma 2. On the positive side, it does give a parameter that effects the power law. On the negative side, when α > 2, there will whp be isolated vertices, unless we make m grow at least as fast as ln n. It is for us, an interesting open question, as to how to prove our results with α = 0. D. M. Frieze, and J. Vera 2 Outline of the Paper We prove a likely power law for the degree sequence in Section 3.

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Algorithms and Models for the Web-Graph: 5th International Workshop, WAW 2007, San Diego, CA, USA, December 11-12, 2007. Proceedings by Abraham D. Flaxman, Juan Vera (auth.), Anthony Bonato, Fan R. K. Chung (eds.)


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