By Darja Krushevskaja, S. Muthukrishnan (auth.), Leizhen Cai, Siu-Wing Cheng, Tak-Wah Lam (eds.)
This ebook constitutes the refereed court cases of the twenty fourth foreign Symposium on Algorithms and Computation, ISAAC 2013, held in Hong Kong, China in December 2013. The sixty seven revised complete papers provided including 2 invited talks have been conscientiously reviewed and chosen from 177 submissions for inclusion within the e-book. the focal point of the amount in at the following issues: computation geometry, trend matching, computational complexity, net and social community algorithms, graph concept and algorithms, scheduling algorithms, fixed-parameter tractable algorithms, algorithms and knowledge buildings, algorithmic video game thought, approximation algorithms and community algorithms.
Read Online or Download Algorithms and Computation: 24th International Symposium, ISAAC 2013, Hong Kong, China, December 16-18, 2013, Proceedings PDF
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Extra resources for Algorithms and Computation: 24th International Symposium, ISAAC 2013, Hong Kong, China, December 16-18, 2013, Proceedings
Vj be a maximal convex chain not containing support edges of P . Each of the two end points of C is either a reﬂex vertex of P (or v ∗ ), or end point of a support edge, or both. If vi is the end point of a support edge e, then we charge C to e. Otherwise, we charge C to the reﬂex point vi (or to the special point v ∗ ). Observe that each end point of a support edge can be at most once a starting point (vi ) of such a maximal convex chain C of P . The same is true for each reﬂex vertex of P (and v ∗ ).
In: SoCG, pp. 1–9 (2004) 9. : Separating point sets in polygonal environments. International Journal of Computational Geometry and Applications 15(4), 403–420 (2005) 10. : Algorithms for the reduction of the number of points required to represent a digitized line or its caricature. The Canadian Cartographer 10(2), 112–122 (1973) 11. : Visibility Algorithms in the Plane. Cambridge University Press, New York (2007) 12. : Optimal shortest path queries in a simple polygon. Journal of Computer and System Sciences 39(2), 126–152 (1989) 13.
If the coordinates of the vertices of P are rational, then the coordinates used for P are rational as well. Moreover, explicitly representing these vertices needs at most a constant times the number of bits used by input vertices. Alternatively, we can store the simpliﬁcation in an implicit form: we store the ﬁrst and last vertices of each simpliﬁed chain, allowing an easy identiﬁcation between each connected component of P \ P and the simpliﬁed chains. In either case, at most O(r) space is needed (for constant size vertex representation).