By Béla Bollobás, Oliver Riordan (auth.), Stefano Leonardi (eds.)
This quantity comprises the 14 contributed papers and the contribution of the celebrated invited speaker B´ ela Bollob´ as provided on the third Workshop on Algorithms and versions for the Web-Graph (WAW 2004), held in Rome, Italy, October sixteen, 2004, at the side of the forty fifth Annual IEEE Symposium on Foundations of desktop technology (FOCS 2004). the realm vast net has develop into a part of our lifestyle and knowledge retrievalanddataminingontheWebisnowofenormouspracticalinterest.Some of the algorithms helping those actions are dependent considerably on viewing the net as a graph, caused in numerous methods by means of hyperlinks between pages, hyperlinks between hosts, or different comparable networks. Theaimofthe2004WorkshoponAlgorithmsandModelsfortheWeb-Graph used to be to additional the knowledge of those Web-induced graphs, and stimulate the improvement of high-performance algorithms and purposes that use the graphstructureoftheWeb.Theworkshopwasmeantbothtofosteranexchange of rules one of the diversified set of researchers already thinking about this subject, and to behave as an advent for the bigger neighborhood to the state-of-the-art during this region. This was once the 3rd version of a really winning workshop in this subject, WAW 2002 used to be held in Vancouver, Canada, at the side of the forty third - nual IEEE Symposium on Foundations of desktop technological know-how, FOCS 2002, and WAW 2003 used to be held in Budapest, Hungary, along side the twelfth Int- nationwide world-wide-web convention, WWW 2003. This used to be the ?rst variation of the workshop with formal proceedings.
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Extra info for Algorithms and Models for the Web-Graph: Third International Workshop, WAW 2004, Rome, Italy, October 16, 2004, Proceeedings
It was proposed as a random graph model for the web by Barabási and Albert , and their description was elaborated by Bollobás and Riordan  who showed that at time whp the diameter of a graph constructed in this way is asymptotic to Subsequently, Bollobás, Riordan, Spencer and Tusnády  proved that the degree sequence of such graphs does follow a power law distribution. The random graph defined in the previous paragraph has good expansion properties. For example, Mihail, Papadimitriou and Saberi  showed that whp the preferential attachment model has conductance bounded below by a constant.
2. After applying Extract (with parameters and the local graph is almost perfectly recovered 26 R. Andersen et al. Flake et al.  defined a hierarchy of communities using minimum cut trees. Their communities have provably good expansion, and few edges between communities. The communities found by Extract are highly locally connected, and are robust in the sense of Theorem 8. These communities can have rich structures other than cliques or complete bipartite subgraphs. The communities are monotone in the sense that adding edges only increases the size of a community.
Lu, The small world phenomenon in hybrid power law graphs Lecture Note in Physics special volume on “Complex Network”, to appear. and T. Gallai, Gráfok fokú pontokkal (Graphs with points of pre5. scribed degrees, in Hungarian), Mat. Lapok 11 (1961), 264-274. 6. A. Fabrikant, E. Koutsoupias and C. H. Papadimitriou, Heuristically optimized trade-offs: a new paradigm for power laws in the Internet, STOC 2002. 7. G. W. Flake, R. E. Tarjan, and K. Tsioutsiouliklis, Graph Clustering and Minimum Cut Trees.
Algorithms and Models for the Web-Graph: Third International Workshop, WAW 2004, Rome, Italy, October 16, 2004, Proceeedings by Béla Bollobás, Oliver Riordan (auth.), Stefano Leonardi (eds.)