By Erik D. Demaine (auth.), Rudolf Fleischer, Gerhard Trippen (eds.)
This quantity includes the complaints of the fifteenth Annual foreign Sym- sium on Algorithms and Computation (ISAAC 2004), held in Hong Kong, 20–22 December, 2004. some time past, 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 group of algorithms and the speculation of computation to offer and alternate new principles. based on our demand papers we acquired 226 submissions. the duty of selectingthepapersinthisvolumewasdonebyourprogramcommitteeandother referees. After a radical overview strategy the committee chosen seventy six papers, the choices being in response to originality and relevance to the ?eld of algorithms and computation. we are hoping all authorised papers will ultimately look in scienti?c journals in a extra polished shape. distinct matters, certainly one of Algorithmica and one of many overseas magazine of Computational Geometry and functions, with chosen papers from ISAAC 2004 are in training. Thebeststudentpaperawardwillbegivenfor“Geometricoptimizationpr- lems over sliding home windows” by means of Bashir S. Sadjad and Timothy M. Chan from the collage 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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Additional resources for Algorithms and Computation: 15th International Symposium, ISAAC 2004, Hong Kong, China, December 20-22, 2004. Proceedings
We now show that Let be a positive integer whose value will be chosen later. Let and For simplicity, we assume that is an integer. For we represent by a vector It will be convenient to consider that is represented by an number. , it outputs 1 iff the number of ones in an input is greater than or equal to Before we show the correctness of Eq. (1), we determine the value of and estimate the number of AND gates needed to compute Eq. (1). Since (i) the AND of functions can be computed by a circuit of level log with AND gates, and (ii) the 2-threshold function on variables can be computed by a single level circuit that includes AND gates1, we can construct a circuit including at most 1 Proof: Let and consider that an integer is represented by a log binary number.
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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.)