Download Algorithms and Computation: 25th International Symposium, by Hee-Kap Ahn, Chan-Su Shin PDF

By Hee-Kap Ahn, Chan-Su Shin

This e-book constitutes the refereed complaints of the twenty fifth overseas Symposium on Algorithms and Computation, ISAAC 2014, held in Jeonju, Korea, in December 2014.
The 60 revised complete papers provided including 2 invited talks have been rigorously reviewed and chosen from 171 submissions for inclusion within the ebook. the focal point of the quantity in at the following themes: computational geometry, combinatorial optimization, graph algorithms: enumeration, matching and task, information buildings 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.

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

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Extra info for Algorithms and Computation: 25th International Symposium, ISAAC 2014, Jeonju, Korea, December 15-17, 2014, Proceedings

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The points a, 1, . . , k, a lie on a convex arc in both sets. (c-d) Two point sets with the same radial system but nonisomorphic order types. radial orderings of landmarks around it. They use the order type machinery as well, and consider robots with operations like moving towards a landmark to accomplish several recognition tasks. Wismath [10] considered related reconstruction problems involving partial visibility information. He mentions the fact that radial orderings are not always sufficient to reconstruct order types, and solves a related reconstruction problem where, additionally, the x-coordinate of every point is given.

Line-Constrained k-Median, k-Means, and k-Center Problems 4 11 The Constrained k-Center This section presents our k-center algorithms. We first give a linear time algorithm to solve the decision version of the problem for all metrics. Then, we present an O(n log n) time algorithm for the L2 metric. In fact, similar algorithms also work for the other two metrics. However, since the algorithm uses Cole’s parametric search [12], which is complicated, we give another O(n log n) time algorithm for L1 and L∞ metrics, without using parametric search.

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. Theorem 1. Consider an abstract labeled order type χ on a set V with |V | ≥ 5 and let U ∼ Rχ . There is a polynomial-time algorithm that takes U as input and returns T (U ). Furthermore, let H be the vertices of the convex hull of χ. Then (i) all elements of T (U ) have convex hull size |H|; and (ii) if |H| ≥ 4, then T (U ) = {χ}.

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