By Kurt Mehlhorn (auth.), Sudebkumar Prasant Pal, Kunihiko Sadakane (eds.)
This ebook constitutes the revised chosen papers of the eighth overseas Workshop on Algorithms and Computation, WALCOM 2014, held in Chennai, India, in February 2014. The 29 complete papers awarded including three invited talks have been rigorously reviewed and chosen from sixty two submissions. The papers are equipped in topical sections on computational geometry, algorithms and approximations, disbursed computing and networks, graph algorithms, complexity and boundaries, and graph embeddings and drawings.
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Additional resources for Algorithms and Computation: 8th International Workshop, WALCOM 2014, Chennai, India, February 13-15, 2014, Proceedings
Eﬃcient algorithms for generalized intersection searching on non-iso-oriented objects. In: Symposium on Computational Geometry, pp. 369–378 (1994) On Generalized Planar Skyline and Convex Hull Range Queries 43 10. : Algorithms for generalized halfspace range searching and other intersection searching problems. Comput. Geom. 5, 321–340 (1995) 11. : Further results on generalized intersection searching problems: Counting, reporting, and dynamization. J. Algorithms 19(2), 282–317 (1995) 12. : Algorithms for generalized halfspace range searching and other intersection searching problems.
X, ∪q ≥ Q}. x → r2 . We can support a query of type (1) by using a binary search algorithm and a query of type (2) by using a partial sum query structure  after sorting the query points in the Top-k Manhattan Spatial Skyline Queries 29 ascending order of their x-coordinates. For a set of elements stored in an array, a partial sum query structure returns the sum of the elements that lie in an orthogonal query range . 5+Δ m) time preprocessing for an arbitrarily small constant Π > 0 .
For a monotone scoring function f the following lemma holds. Lemma 2.  For p, p∩ ≥ P , if p∩ dominates p, then f (p∩ ) → f (p). , pn ] be a sorted list of points in P in the ascending order of distance from a query point q. For the moment we assume that no two points have 26 W. Son et al. the same distance from q. We will discuss later how to handle the case that more than one point of P have the same distance from q. By Lemma 1 and Lemma 2 we get the following corollary. Corollary 1. If pj ≥ Lq is not a skyline point, then there is a point pi ≥ Lq that satisfies the following conditions (by Lemma 1 and Lemma 2): 1.
Algorithms and Computation: 8th International Workshop, WALCOM 2014, Chennai, India, February 13-15, 2014, Proceedings by Kurt Mehlhorn (auth.), Sudebkumar Prasant Pal, Kunihiko Sadakane (eds.)