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