By Béla Bollobás, Oliver Riordan (auth.), Stefano Leonardi (eds.)

ISBN-10: 3540234276

ISBN-13: 9783540234272

ISBN-10: 3540302166

ISBN-13: 9783540302162

This quantity includes the 14 contributed papers and the contribution of the prestigious invited speaker B´ ela Bollob´ as awarded on the third Workshop on Algorithms and types for the Web-Graph (WAW 2004), held in Rome, Italy, October sixteen, 2004, along with the forty fifth Annual IEEE Symposium on Foundations of machine technology (FOCS 2004). the realm broad net has develop into a part of our way of life and data retrievalanddataminingontheWebisnowofenormouspracticalinterest.Some of the algorithms aiding those actions are established considerably on viewing the internet as a graph, caused in a variety of methods by means of hyperlinks between pages, hyperlinks between hosts, or different comparable networks. Theaimofthe2004WorkshoponAlgorithmsandModelsfortheWeb-Graph was once to additional the certainty of those Web-induced graphs, and stimulate the advance of high-performance algorithms and functions that use the graphstructureoftheWeb.Theworkshopwasmeantbothtofosteranexchange of principles one of the various set of researchers already eager about this subject, and to behave as an advent for the bigger neighborhood to the cutting-edge during this region. This was once the 3rd version of a really profitable workshop in this subject, WAW 2002 was once held in Vancouver, Canada, along side the forty third - nual IEEE Symposium on Foundations of machine technological know-how, FOCS 2002, and WAW 2003 used to be held in Budapest, Hungary, along with the twelfth Int- nationwide world-wide-web convention, WWW 2003. This was once the ?rst variation of the workshop with formal proceedings.

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**Extra resources for Algorithms and Models for the Web-Graph: Third International Workshop, WAW 2004, Rome, Italy, October 16, 2004, Proceeedings**

**Example text**

1 An Algorithm to Extract the Local Graph We are given as input a graph G and parameters Let H = G. If there is some edge in H where and are not in then let Repeat until no further edges can be removed, then output H. Theorem 7. For any graph G and any returns Proof. Given a graph G, let be the graph output by the greedy algorithm. 2 maximum short flow computations. Recovering the Local Graph When applied to a hybrid graph with an graph L, the algorithm will output which is almost exactly L if G is sufficiently sparse.

J. Prömel, editors, Lectures on Approximation and Randomized Algorithms, pages 73–155. PWN, Warsaw, 1999. 26. M. Zito. Greedy algorithms for minimisation problems in random regular graphs. Proc 9th ESA, pp 524–536, LNCS 2161. Springer-Verlag, 2001. A Geometric Preferential Attachment Model of Networks Abraham D. Flaxman, Alan M. A. Abstract. We study a random graph that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of are sequentially generated points chosen uniformly at random from the unit sphere in After generating we randomly connect it to points from those points in which are within distance Neighbours are chosen with probability proportional to their current degree.

B. Bollobás, O. Riordan, J. Spencer, and G. Tusnády. The degree sequence of a scale-free random graph process. RSA, 18:279–290, 2001. 6. A. Broder, R. Kumar, F. Maghoul, P. Raghavan, S. Rajagopalan, R. Stata, A. Tomkins, and J. Wiener. Graph structure in the web. In Proc. 9th WWW, pp 309–320, 2000. 7. E. Cockayne, S. Goodman, and S. Hedetniemi. A linear algorithm for the domination number of a tree. IPL, 4:41–44, 1975. 8. C. Cooper. The age specific degree distribution of web-graphs. Submitted to Combinatorics Probability and Computing, 2002.

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