Algorithms and Computation: 15th International Symposium, by Erik D. Demaine (auth.), Rudolf Fleischer, Gerhard Trippen

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

This quantity includes the lawsuits 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 foreign symposium that covers a variety of topics,namelyalgorithmsandcomputation.Themainpurposeofthesymposium is to supply a discussion board for researchers operating within the energetic examine group of algorithms and the speculation of computation to provide and alternate new principles. based on our demand papers we bought 226 submissions. the duty of selectingthepapersinthisvolumewasdonebyourprogramcommitteeandother referees. After an intensive assessment method the committee chosen seventy six papers, the choices being in keeping with originality and relevance to the ?eld of algorithms and computation. we are hoping all permitted papers will finally look in scienti?c journals in a extra polished shape. particular concerns, certainly one of Algorithmica and one of many overseas magazine of Computational Geometry and functions, with chosen papers from ISAAC 2004 are in practise. Thebeststudentpaperawardwillbegivenfor“Geometricoptimizationpr- lems over sliding home windows” by means of 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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7 in [11]). In the following, we improve their result by giving an explicit construction of a graph G on vertices such that 32 K. Amano and A. Maruoka Theorem 2. There is a graph G on and vertices such that Proof. Let be a bipartite graph with and For simplicity, we assume that for some positive integer Let G be a graph on such that where and are the complete graphs on U and V respectively. In the following, we show that and First, we show that Let C be a single level monotone circuit for For a function let denote the set of all prime implicants of Since contains edges, it is sufficient to show that for every gate in C, if contains more than two edges in then can be eliminated without changing the output of C.

Sci. 237(1-2) (2000) 429–437 19. R. Tarjan, Complexity of Monotone Networks for Computing Conjunctions, Ann. Disc. Math. 2 (1978) 121–133 20. Z. Tuza, Covering of Graphs by Complete Bipartite Subgraphs, Complexity of 0-1 Martix, Combinatorica 4 (1984) 111–116 21. I. Wegener, More on the Complexity of Slice Functions, Theor. Comput. Sci. 43 (1986) 201–211 22. I. Wegener, The Complexity of Boolean Functions, Wiley-Teubner (1987) 23. J. Weiss, An Lower Bound on the Complexity of Boolean Convolution, Info.

We identify in this problem an important new phenomenon in pattern matching. One where there is a significant complexity difference between the bounded alphabet and infinite alphabet case. We prove that the generalized pattern matching problem over infinite alphabets is To our knowledge, this is the first case in the literature where a pattern matching problem over a bounded alphabet can be solved in polynomial time but the infinite alphabet version is Keywords: Pattern matching, function matching, parameterized matching, 1 Introduction The last few decades have prompted the evolution of pattern matching from a combinatorial solution of the exact string matching problem [15,17] to an area concerned with approximate matching of various relationships motivated by computational molecular biology, computer vision, and complex searches in * Partly supported by NSF grant CCR-01-04494 and ISF grant 282/01.

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