By Andrew Chi-Chih Yao (auth.), Toshihide Ibaraki, Naoki Katoh, Hirotaka Ono (eds.)

This quantity includes the complaints of the 14th Annual foreign S- posium on Algorithms and Computation (ISAAC 2003), held in Kyoto, Japan, 15–17 December 2003. long ago, it was once 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), and Vancouver (2002). ISAACisanannualinternationalsymposiumthatcoverstheverywiderange of themes in algorithms and computation. the most function of the symposium is to supply a discussion board for researchers operating in algorithms and the speculation of computation the place they could trade rules during this energetic examine group. in keeping with our demand papers, we bought all at once many subm- sions, 207 papers. the duty of choosing the papers during this quantity was once performed by way of our application committee and referees. After an intensive overview approach, the committee chosen seventy three papers. the choice was once performed at the foundation of originality and relevance to the ?eld of algorithms and computation. we are hoping all permitted papers will eventally look in scienti?c journals in additional polished kinds. the easiest paper award used to be given for “On the Geometric Dilation of Finite element units” to Annette Ebbers-Baumann, Ansgar Grune ¨ and Rolf Klein. eminent invited audio system, Prof. Andrew Chi-Chih Yao of Princeton collage and Prof. Takao Nishizeki of Tohoku college, contributed to this proceedings.

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Edu Abstract. In this paper we present a new, query based approach for approximating polygonal chains in the plane. We give a few results related with this approach, some of more general interest, and propose a greedy heuristic to speed up the computation. We also give an O(n log n) time, factor 2 approximation algorithm with infinite beam criterion. Finally, we show that the query based approach can be used to obtain a subquadratic time exact algorithm with infinite beam criterion and Euclidean distance metric if some condition on the input path holds.

Similarly, we define T R . We can construct T L and T R in linear time by modifying the plane-sweep algorithm for computing a convex hull, assuming that bitangent line between two parabolas can be computed in constant time. Now, the rest is similar to the previous section. We note that a vertex in the tree need not correspond to an endpoint of the intervals Ik ; precisely speaking, it can be an endpoint of bitangents of parabolas. For each node u = (xu , yu ) in the tree T L , we define W L (u) by the following recursion: 1.

On Discrete Algorithms (2003). 6. Komlos, Ma, and Szemeredi. Matching nuts and bolts in O(n log n) time. SIAM Journal on Discrete Mathematics 11 (1998). jp Abstract. A new concept called a boat-sail distance is introduced on the surface of water with flow, and it is used to define a generalized Voronoi diagram, in such a way that the water surface is partitioned into regions belonging to the nearest harbors with respect to this distance. The problem of computing this Voronoi diagram is reduced to a boundary value problem of a partial differential equation, and a numerical method for solving this problem is constructed.

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