By Kazuo Iwama (auth.), Tetsuo Asano (eds.)
This publication constitutes the refereed complaints of the seventeenth overseas Symposium on Algorithms and Computation, ISAAC 2006, held in Kolkata, India in December 2006.
The seventy three revised complete papers offered have been conscientiously reviewed and chosen from 255 submissions. The papers are geared up in topical sections on algorithms and information constructions, on-line algorithms, approximation set of rules, graphs, computational geometry, computational complexity, community, optimization and biology, combinatorial optimization and quantum computing, in addition to dispensed computing and cryptography.
Read or Download Algorithms and Computation: 17th International Symposium, ISAAC 2006, Kolkata, India, December 18-20, 2006. Proceedings PDF
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Extra resources for Algorithms and Computation: 17th International Symposium, ISAAC 2006, Kolkata, India, December 18-20, 2006. Proceedings
The presented algorithms are deterministic, providing a guarantee on the quality of the output. Furthermore they should perform the task at hand in a single pass over the data storing only a constant number of elements. Many applications require a good splitter. The crux of every divide-andconquer algorithm is ﬁnding an element which partitions a data set of size n into two parts of roughly equal size. A simple example is quicksort which performs best splitting in each recursion at the median which is the element of rank n 2 , where the rank of an element is its position in the sorted order of the set.
We prove it be optimal in the general case. Besides, we prove a tight bound for the diameter of the conﬁguration graph of the problem suggested by Wood. Further, we consider a generalized setting, where the disk sizes should not form a continuous interval of integers. To this end, we describe a ﬁnite family of potentially optimal algorithms and prove that for any set of disk sizes, the best one among those algorithms is optimal. Finally, a setting with the ultimate relaxed placement rule (suggested by D.
Thanks to Britta Denner-Broser and Klaus Kriegel for their support. References 1. M. Blum, R. W. Floyd, V. R. Pratt, R. L. Rivest, and R. E. Tarjan. Time bounds for selection. J. Comput. Syst. , 7(4):448–461, 1973. 2. M. Greenwald and S. Khanna. Space-eﬃcient online computation of quantile summaries. In SIGMOD ’01: Proceedings of the 2001 ACM SIGMOD international conference on Management of data, pages 58–66, New York, NY, USA, 2001. ACM Press. 3. S. Guha and A. McGregor. Approximating quantiles and the order of the stream.