Algorithms and Computation: 17th International Symposium, by Kazuo Iwama (auth.), Tetsuo Asano (eds.)

By Kazuo Iwama (auth.), Tetsuo Asano (eds.)

This booklet constitutes the refereed court cases of the seventeenth overseas Symposium on Algorithms and Computation, ISAAC 2006, held in Kolkata, India in December 2006.

The seventy three revised complete papers provided have been rigorously reviewed and chosen from 255 submissions. The papers are geared up in topical sections on algorithms and information buildings, on-line algorithms, approximation set of rules, graphs, computational geometry, computational complexity, community, optimization and biology, combinatorial optimization and quantum computing, in addition to disbursed computing and cryptography.

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Extra info for Algorithms and Computation: 17th International Symposium, ISAAC 2006, Kolkata, India, December 18-20, 2006. Proceedings

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5. R. Jain and I. Chlamtac. The p2 algorithm for dynamic calculation of quantiles and histograms without storing observations. Commun. ACM, 28(10):1076–1085, 1985. 6. G. S. Manku, S. Rajagopalan, and B. G. Lindsay. Approximate medians and other quantiles in one pass and with limited memory. , 27(2):426–435, 1998. 7. J. I. Munro and M. Paterson. Selection and sorting with limited storage. Theoretical Computer Science, 12:315–323, 1980. 8. J. I. Munro and V. Raman. Selection from read-only memory and sorting with minimum data movement.

Thus if the path decomposition is not computed, the time complexity T (n) of the algorithm is È ¼k 4 T (n) k 3i ¼ T (n 5i (k 4i)) i O i 0 ½ ¼k 4 O i 0 k 3i ¼ T (n i k) i ½ (1) where T ¼ (n¼ ) is the time complexity to solve a problem on a branch node (G H C) in L with n¼ VH . ) Let p (¬ «)n. To bound T ¼ (n¼ ) we use similar arguments as before and use Proposition 1 to bound the running time of the enumerative step of the algorithm. Thus we obtain: ¼p 3 ¼ ¼ T (n ) O i 0 p 2i n 3 i ¼ ½ 4i (p 3i) 3 ¼ O 3 p 3 (n¼ p) 3 i 0 We bound T (n¼ ) by O(3(n p) 3 d p ) for some constant d, 1 determined later).

JÓÒ××ÓÒ, An algorithm for counting maximum weighted independent sets and its applications, in 13th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2002), ACM and SIAM, 2002, pp. 292–298. 3. V. D ÐÐÓ¨ , P. JÓÒ××ÓÒ, Ò M. W Ð×ØÖÓ¨ Ñ, Counting models for 2SAT and 3SAT formulae, Theoretical Computer Science, 332 (2005), pp. 265–291. 4. F. V. FÓÑ Ò, F. GÖ Ò ÓÒ , Ò D. KÖ Ø× , Some new techniques in design and analysis of exact (exponential) algorithms, Bulletin of the EATCS, 87 (2005), pp. 47–77.

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