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Similarly, the next batch handled is {b} from list 1, where b is dominated by point a (already in the skyline). , i dominates m), and adds i to the skyline. At this step, the algorithm does 2 The result of “&” will contain several 1s if multiple skyline points coincide. This case can be handled with an additional “or” operation [Tan et al. 2001]. ACM Transactions on Database Systems, Vol. 30, No. 1, March 2005. 48 • D. Papadias et al. Fig. 3. Example of NN. , {c}, {h, n}) of lists 1 and 2. This means that all the remaining points (in both lists) are dominated by i, and the algorithm terminates with {a, i, k}.

Furthermore, we propose several interesting variations of skyline computation, and show how BBS can be applied for their efficient processing. 3 [Information Storage and Retrieval]: Information Search and Retrieval General Terms: Algorithms, Experimentation Additional Key Words and Phrases: Skyline query, branch-and-bound algorithms, multidimensional access methods This research was supported by the grants HKUST 6180/03E and CityU 1163/04E from Hong Kong RGC and Se 553/3-1 from DFG. Authors’ addresses: D.

1996. The Object Database Standard: ODMG-93. Morgan Kaufman, San Francisco, CA. , AND SMAGA, K. 1998. Your mediators need data conversion! In Proceedings of ACM SIGMOD. 177–188. , DI VIMERCATI, S. D. , AND SAMARATI, P. 2001. Securing XML documents. In Proceedings of EDBT. , AND HALEVY, A. Y. 2001. Reconciling schemas of disparate data sources: a machine-learning approach. In Proceedings of ACM SIGMOD. ACM Press, New York, NY, 509–520. , AND WIDOM, J. 1997. The TSIMMIS approach to mediation: Data models and languages.

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