By Hee-Kap Ahn, Chan-Su Shin

ISBN-10: 3319130749

ISBN-13: 9783319130743

ISBN-10: 3319130757

ISBN-13: 9783319130750

This publication constitutes the refereed lawsuits of the twenty fifth overseas Symposium on Algorithms and Computation, ISAAC 2014, held in Jeonju, Korea, in December 2014.

The 60 revised complete papers awarded including 2 invited talks have been rigorously reviewed and chosen from 171 submissions for inclusion within the e-book. the focal point of the quantity in at the following themes: computational geometry, combinatorial optimization, graph algorithms: enumeration, matching and project, information constructions and algorithms, fixed-parameter tractable algorithms, scheduling algorithms, computational complexity, computational complexity, approximation algorithms, graph conception and algorithms, on-line and approximation algorithms, and community and scheduling algorithms.

**Read Online or Download Algorithms and Computation: 25th International Symposium, ISAAC 2014, Jeonju, Korea, December 15-17, 2014, Proceedings PDF**

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**Additional resources for Algorithms and Computation: 25th International Symposium, ISAAC 2014, Jeonju, Korea, December 15-17, 2014, Proceedings**

**Example text**

The cases v = h2 and v = h3 are analogous. This procedure takes polynomial time. We omit the proof of the following lemma due to space limitations; it is essentially an application of Lemma 2, followed by some case analysis to recover χ. Lemma 3. Consider an abstract labeled order type χ on a set V with |V | ≥ 5 and let U ∼ Rχ . Let H ⊆ V be the set of vertices on the convex hull of χ. , {χ ∈ T (U ) | χ has convex hull H} = {χ}. Furthermore, there is a polynomial-time algorithm that takes (H, U ) as input and returns χ.

Keywords: Higher-Order Voronoi Diagram · Abstract Voronoi Diagram · Randomized Algorithm · Divide and Conquer 1 Introduction Given a set S of n geometric sites in the plane, their order-k Voronoi diagram, Vk (S), is a subdivision of the plane such that every point within an order-k Voronoi region has the same k nearest sites. The common boundary between two adjacent Voronoi regions is a Voronoi edge, and the common vertex incident to more than two Voronoi regions is a Voronoi vertex. The ordinary Voronoi diagram is the order-1 Voronoi diagram, and the farthest-site Voronoi diagram is the order-(n−1) Voronoi diagram.

Algorithmica 69, 370–383 (2014) 12. : Slowing down sorting networks to obtain faster sorting algorithms. Journal of the ACM 34(1), 200–208 (1987) 13. : Least squares quantization in PCM. IEEE Transactions on Information Theory 28, 129–137 (1982) 14. : Fitting a step function to a point set. Algorithmica 60(1), 95–109 (2011) 15. : Optimal packing and covering in the plane are NP-complete. Information Processing Letters 12, 133–137 (1981) 16. : Optimal algorithms for tree partitioning. In: Proc. of the 2nd Annual Symposium of Discrete Algorithms, SODA, pp.