By Erik D. Demaine (auth.), Rudolf Fleischer, Gerhard Trippen (eds.)

ISBN-10: 3540241310

ISBN-13: 9783540241317

This quantity comprises the complaints of the fifteenth Annual foreign Sym- sium on Algorithms and Computation (ISAAC 2004), held in Hong Kong, 20–22 December, 2004. long ago, it's been held in Tokyo (1990), Taipei (1991), Nagoya (1992), Hong Kong (1993), Beijing (1994), Cairns (1995), Osaka (1996), Singapore (1997), Taejon (1998), Chennai (1999), Taipei (2000), Christchurch (2001), Vancouver (2002), and Kyoto (2003). ISAAC is an annual overseas symposium that covers a variety of topics,namelyalgorithmsandcomputation.Themainpurposeofthesymposium is to supply a discussion board for researchers operating within the energetic study neighborhood of algorithms and the idea of computation to provide and alternate new principles. in line with our demand papers we obtained 226 submissions. the duty of selectingthepapersinthisvolumewasdonebyourprogramcommitteeandother referees. After an intensive overview procedure the committee chosen seventy six papers, the selections being in keeping with originality and relevance to the ?eld of algorithms and computation. we are hoping all authorized papers will ultimately seem in scienti?c journals in a extra polished shape. distinct matters, one in all Algorithmica and one of many foreign magazine of Computational Geometry and purposes, with chosen papers from ISAAC 2004 are in instruction. Thebeststudentpaperawardwillbegivenfor“Geometricoptimizationpr- lems over sliding home windows” through Bashir S. Sadjad and Timothy M. Chan from the college of Waterloo. eminent invited audio system, Prof. Erik D. Demaine, MIT, and Prof. David M. Mount, college of Maryland, additionally contributed to this volume.

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Extra info for Algorithms and Computation: 15th International Symposium, ISAAC 2004, Hong Kong, China, December 20-22, 2004. Proceedings

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First we analyze the running time. The bad-good-test in line 3 takes time. If the algorithm determines that is then the whileloops run times. In one iteration of the while-loop, the algorithm Property-Preserving Data Reconstruction 23 calls bad-good-test times. Each call takes time by Lemma 2. Therefore, the time complexity of the while-loop is By Lemma 4, the running time of the call to find-good-integer is The time complexity of the algorithm is therefore Let us first look at the while-loop. If I has more than of integers, then the number of outputs is with inverse polynomial probability.

The oblivious queries are generated based on the balanced binary tree on The root of this tree is The left subtree of the root corresponds to the interval and similarly the right subtree corresponds to The two subtrees are then defined recursively. This tree is denoted by T. The oblivious queries are generated according to the following order. We start from the root of T and scan its elements one by one by going down level by level. Within each level we scan from left to right. This defines an ordering of all integers in which is the order to make oblivious queries.

Of 37th FOCS (1996) 431–440) 5. C. Berg, S. Ulfberg, Symmetric Approximation Arguments for Monotone Lower Bounds Without Sunflowers, Computational Complexity 8(1) (1999) 1–20 6. E. Dunne, The Complexity of Boolean Networks, Academic Press (1988) 7. A. Haken, Counting Bottlenecks to Show Monotone Proc. of 36th FOCS (1995) 36–40 8. D. Harnik, R. Raz, Higher Lower Bounds for Monotone Size, Proc. of 32nd STOC (2000) 191–201 9. S. Jukna, Combinatorics of Monotone Computations, Combinatorica 19(1) (1999) 65-85 10.

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Algorithms and Computation: 15th International Symposium, ISAAC 2004, Hong Kong, China, December 20-22, 2004. Proceedings by Erik D. Demaine (auth.), Rudolf Fleischer, Gerhard Trippen (eds.)

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