Algorithms – ESA 2013: 21st Annual European Symposium, by David Adjiashvili, Gianpaolo Oriolo, Marco Senatore (auth.), PDF

By David Adjiashvili, Gianpaolo Oriolo, Marco Senatore (auth.), Hans L. Bodlaender, Giuseppe F. Italiano (eds.)

ISBN-10: 3642404499

ISBN-13: 9783642404498

ISBN-10: 3642404502

ISBN-13: 9783642404504

This ebook constitutes the refereed court cases of the twenty first Annual eu Symposium on Algorithms, ESA 2013, held in Sophia Antipolis, France, in September 2013 within the context of the mixed convention ALGO 2013. The sixty nine revised complete papers awarded have been rigorously reviewed and chosen from 303 preliminary submissions: fifty three out of 229 in song "Design and research" and sixteen out of seventy four in song "Engineering and Applications". The papers during this ebook current unique examine in all parts of algorithmic learn, together with yet no longer constrained to: set of rules engineering; algorithmic features of networks; algorithmic online game idea; approximation algorithms; computational biology; computational finance; computational geometry; combinatorial optimization; facts compression; information constructions; databases and knowledge retrieval; disbursed and parallel computing; graph algorithms; hierarchical thoughts; heuristics and meta-heuristics; mathematical programming; cellular computing; online algorithms; parameterized complexity; trend matching; quantum computing; randomized algorithms; scheduling and source allocation difficulties; streaming algorithms.

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Extra info for Algorithms – ESA 2013: 21st Annual European Symposium, Sophia Antipolis, France, September 2-4, 2013. Proceedings

Example text

Pilz fix the Delaunay property [10]. Hurtado, Noy, and Urrutia [7] gave an example where the flip distance is Ω(n2 ), and they showed that the same bounds hold for triangulations of simple polygons. They also proved that if the polygon has k reflex vertices, then the flip graph has diameter O(n + k 2 ). In particular, the flip graph of any planar polygon has diameter O(n2 ). Their result also generalizes the well-known fact that the flip distance between any two triangulations of a convex polygon is at most 2n − 10, for n > 12, as shown by Sleator, Tarjan, and Thurston [15] in their work on the flip distance in convex polygons.

2 (right). 1 ([7]). The flip distance between Tu and Tl is (n − 1)2 . Through a slight modification of D, we can reduce the flip distance between the upper and the lower extreme triangulation to linear. This will enable us in our reduction to impose a certain structure on short flip sequences. To describe this modification, we first define the flip-kernel of a double chain. u1 u2 un−1 un l1 l2 ln−1 l n Fig. 2. Left: The polygon and the hourglass (gray) of a double chain. The diamondshaped flip-kernel can be extended arbitrarily by flattening the chains.

In the classical RAM model, this problem is solved using the sweep line paradigm [17,7]. We sweep a hypothetical vertical line across the plane in increasing x-coordinate and perform some computation at each segment endpoint or query point. We maintain an ordered set A of active segments — all segments which intersect the sweep line, ordered by the y-coordinates. A segment is inserted into A when the sweep line encounters its left endpoint and removed when it encounters the right endpoint. , the predecessor of q in A according to the y-ordering.

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Algorithms – ESA 2013: 21st Annual European Symposium, Sophia Antipolis, France, September 2-4, 2013. Proceedings by David Adjiashvili, Gianpaolo Oriolo, Marco Senatore (auth.), Hans L. Bodlaender, Giuseppe F. Italiano (eds.)

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