Computing and Combinatorics: 5th Annual International by Jon M. Kleinberg, Ravi Kumar, Prabhakar Raghavan, Sridhar

By Jon M. Kleinberg, Ravi Kumar, Prabhakar Raghavan, Sridhar Rajagopalan (auth.), Takano Asano, Hideki Imai, D. T. Lee, Shin-ichi Nakano, Takeshi Tokuyama (eds.)

The abstracts and papers during this quantity have been provided on the 5th Annual overseas Computing and Combinatorics convention (COCOON ’99), which used to be held in Tokyo, Japan from July 26 to twenty-eight, 1999. the themes hide so much facets of theoretical desktop technological know-how and combinatorics referring to computing. according to the decision for papers, 88 high quality prolonged abstracts have been submitted across the world, of which forty six have been chosen for presentation by way of the p- gram committee. each submitted paper used to be reviewed by means of not less than 3 software committee participants. lots of those papers characterize reviews on carrying on with - seek, and it really is anticipated that almost all of them will seem in a extra polished and entire shape in scienti c journals. as well as the usual papers, this v- ume includes abstracts of 2 invited plenary talks through Prabhakar Raghavan and Seinosuke Toda. The convention additionally incorporated a different speak via Kurt Mehlhorn on LEDA (Library of E cient facts varieties and Algorithms). The Hao Wang Award (inaugurated at COCOON ’97) is given to honor the paper judged via this system committee to have the best scienti c benefit. The recipients of the Hao Wang Award 1999 have been Hiroshi Nagamochi and Tos- disguise Ibaraki for his or her paper \An Approximation for locating a Smallest 2-Edge- attached Subgraph Containing a Speci ed Spanning Tree".

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Additional resources for Computing and Combinatorics: 5th Annual International Conference, COCOON’99 Tokyo, Japan, July 26–28, 1999 Proceedings

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If SIDEk (G, w) holds for all nodes w ∈ j=0 Xj , then we need nothing to do; that is, we may set Xp+1 to the empty set. Otherwise, by the p condition (2), we must seek Xp+1 among the nodes reachable in G − E[ j=0 Xj ] from NG (Xp ). However, we meet a difficulty here in that task. It is that we have no space to keep all Xj ’s found so far. On the other hand, we are allowed in p that task to deal with G − E[Xp−1 ∪ Xp ] instead of G − E[ j=0 Xj ]. This is p−2 because the condition (3) ensures that all nodes in G reachable from j=0 Xj is not reachable from any nodes in Xp without passing through Xp−1 .

Shmueli. Information gathering on the World Wide Web: the W3QL query language and the W3QS system. Trans. on Database Systems, 1998. 23. S. R. Kumar, P. Raghavan, S. Rajagopalan and A. Tomkins. Trawling emerging cyber-communities automatically. Proc. , 1999. 24. L. V. S. Lakshmanan, F. Sadri, and I. N. Subramanian. A declarative approach to querying and restructuring the World Wide Web. Post-ICDE Workshop on RIDE, 1996. 25. R. Larson. Bibliometrics of the World Wide Web: An exploratory analysis of the intellectual structure of cyberspace.

Lemma 1. Let G = (V, E) be a graph, let w be a node in G, let Cw denote a component of G that contains w, and let Vw denote the node set of Cw . Then we have the following. (a) SIDEk (G, w) holds if and only if for all nodes u, v ∈ Vw , REACHk−1 (G, u, v) holds. (b) SIDEk (G, w) holds if and only if for all nodes u ∈ Vw , SIDEk (G, u). (c) If sw(Cw ) < k, then SIDEk (G, w) holds. Before going into the proof of Theorem 1(b), we here give a brief explanation on the role and/or the motivation of the predicate SIDEk , based on the lemma above.

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