By Bernard Chazelle (auth.), Kyung-Yong Chwa, Oscar H. Ibarra (eds.)
This publication constitutes the refereed complaints of the ninth foreign Symposium on Algorithms and Computation, ISAAC'98, held in Taejon, Korea, in December 1998.
The forty seven revised complete papers awarded have been conscientiously reviewed and chosen from a complete of 102 submissions. The publication is split in topical sections on computational geometry, complexity, graph drawing, on-line algorithms and scheduling, CAD/CAM and snap shots, graph algorithms, randomized algorithms, combinatorial difficulties, computational biology, approximation algorithms, and parallel and allotted algorithms.
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Additional info for Algorithms and Computation: 9th International Symposium, ISAAC’98 Taejon, Korea, December 14–16, 1998 Proceedings
Given the linear-time algorithm for ﬁnding the facility center in the plane, this bound may seem disappointing. However, the algorithm for computing the furthest-site Voronoi diagram is near-optimal, as the maximum combinatorial complexity of the diagram is Θ(mn2 ). 2 Geometric Preliminaries Previous papers on shortest paths on polyhedra [8,5,1,9] use a number of important concepts that we’ll need as well. We review them brieﬂy after giving the relevant deﬁnitions. Facility Location on Terrains 21 In the remainder of the paper P is (the surface of) a polyhedron.
On Computer-Aided Design, vol. 11, no 5, 638-658, May 1992 15 15. V. Srinivasan Personal Communication. 10 L∞ Voronoi Diagrams and Applications 19 16. V. R. Nackman, “ Voronoi diagram for multiply-connected polygonal domains II: Algorithm”, IBM Journal of Research and Development, Vol. 31, No. 3, May 1987 10 17. V. R. M. N. Meshkat, “Automatic Mesh Generation Using the Symmetric Axis Transformation of Polygonal Domains”, Proceedings of the IEEE,Vol. 80, No. 9, Sept. 1992, 1485-1501. 10 18. H. Stapper, “Modeling of Defects in integrated circuits photolithographic patterns”, IBM J.
Then S is partitioned into four subsets S1 , S2 , S3 , S4 such that each source point s ∈ S1 has a distance function fsL (p) from s to p ∈ I that is monotone decreasing in I. Each source point in S2 has a monotone increasing distance function. Source points in S3 , S4 create valley, ridge points at pi , respectively. For each interval Ii = [pi , pi+1 ], called a base-interval on L, the distance function fsIi (p) between any source point s ∈ S to p ∈ Ii is a linear function. Thus candidate median points of Ii are pi , pi+1 or all points in Ii .
Algorithms and Computation: 9th International Symposium, ISAAC’98 Taejon, Korea, December 14–16, 1998 Proceedings by Bernard Chazelle (auth.), Kyung-Yong Chwa, Oscar H. Ibarra (eds.)