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 offered 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 machine technological know-how (FOCS 2004). the realm vast internet has turn into a part of our way of life and knowledge retrievalanddataminingontheWebisnowofenormouspracticalinterest.Some of the algorithms aiding those actions are dependent considerably on viewing the internet as a graph, brought about in a number of methods by way of hyperlinks between pages, hyperlinks between hosts, or different related 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 rules one of the different set of researchers already fascinated about this subject, and to behave as an creation for the bigger neighborhood to the state-of-the-art during this quarter. This was once the 3rd variation of a really profitable workshop in this subject, WAW 2002 was once held in Vancouver, Canada, at the side of the forty third - nual IEEE Symposium on Foundations of laptop technological know-how, FOCS 2002, and WAW 2003 was once held in Budapest, Hungary, along with the twelfth Int- nationwide world-wide-web convention, WWW 2003. This used to be the ?rst version of the workshop with formal proceedings.
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Additional info for Algorithms and Models for the Web-Graph: Third International Workshop, WAW 2004, Rome, Italy, October 16, 2004, Proceeedings
Frieder. Message-optimal connected dominating sets in mobile ad hoc networks. In Proc. 3rd ACM Internat. Symp. on Mobile Ad-hoc Networking & Computing, pp 157–164, 2002. 3. A. Barabási and R. Albert. Emergence of scaling in random networks. Science, 286:509–512, 1999. 4. E. A. Bender and E. R. Canfield. The asymptotic number of labeled graphs with given degree sequences. JCT, A 24:296–307, 1978. 5. B. Bollobás, O. Riordan, J. Spencer, and G. Tusnády. The degree sequence of a scale-free random graph process.
For a random power law graph and almost surely, the average distance is and the diameter is For a random power law graph and almost surely, the average distance is and the diameter is The diameter of the hybrid graph can be smaller if the local graph satisfies additional conditions. A local graph L is said to have isoperimetric dimension if for every vertex in L and every integer there are at least vertices in L of distance from For example, the grid graph in the plane has isoperimetric dimension 2, and the grid graph has isoperimetric dimension The following were proved in .
Springer-Verlag Berlin Heidelberg 2004 32 C. Cooper et al. at sets of vertices that, in a sense, cover all other vertices. More formally, a vertex in a graph dominates all vertices that are adjacent to it (parallel edges give multiple domination). In the spirit of Harary and Haynes , an set for a graph G = (V, E) is a set such that each vertex in is dominated at least times by vertices in Let denote the size of the smallest sets in G. g. in the context of distributed computing or mobile ad-hoc networks [2,10,22].
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.)