By Nikhil Bansal, Irene Finocchi
This ebook constitutes the refereed complaints of the twelfth foreign Colloquium on Theoretical points of Computing, ICTAC 2015, held in Cali, Colombia, in October 2015. The 25 revised complete papers provided including 7 invited talks, three instrument papers, and a pair of brief papers have been conscientiously reviewed and chosen from ninety three submissions. The papers hide numerous themes reminiscent of algebra and class concept; automata and formal languages; concurrency; constraints, common sense and semantic; software program structure and component-based layout; and verification.
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Provably eﬃcient GPU algorithms. 5076 Approximating Minimum-Area Rectangular and Convex Containers for Packing Convex Polygons Helmut Alt1 , Mark de Berg2 , and Christian Knauer3 1 3 Institute of Computer Science, Freie Universit¨ at Berlin, Takustr. O. de Abstract. We investigate the problem of ﬁnding a minimum-area container for the disjoint packing of a set of convex polygons by translations. In particular, we consider axis-parallel rectangles or arbitrary convex sets as containers. For both optimization problems which are NP-hard we develop eﬃcient constant factor approximation algorithms.
285–298 (1999) 11. org/tag/papers 12. : Sparse Matrix Computations and their I/O Complexity. Dissertation, Technische Universit¨ at M¨ unchen, M¨ unchen (2012) 13. : A many-core machine model for designing algorithms with minimum parallelism overheads. In: High Performance Computing Symposium (2013) 14. : An Introduction to Parallel Algorithms. Addison Wesley (1992) 15. : The Art of Computer Programming, Volume III: Sorting and Searching. Addison-Wesley (1973) 16. : Introduction to Parallel Algorithms and Architectures: Arrays, Trees, and Hypercubes.
The permutation problem on an w × m matrix can be solved in O(m log log logm w) expected time, assuming m = Ω(logO(1) w). Furthermore, the total number of random words used by the algorithm is w + O(m log log logm w). 24 P. Afshani and N. Sitchinava References 1. : Sorting and permuting without bank conﬂicts on GPUs. 01391 2. : The input/output complexity of sorting and related problems. Commun. ACM 31, 1116–1127 (1988) 3. : Fundamental parallel algorithms for private-cache chip multiprocessors.