By Nikhil Bansal, Irene Finocchi

ISBN-10: 3662483491

ISBN-13: 9783662483497

ISBN-10: 3662483505

ISBN-13: 9783662483503

This ebook constitutes the refereed court cases of the twelfth overseas Colloquium on Theoretical elements of Computing, ICTAC 2015, held in Cali, Colombia, in October 2015. The 25 revised complete papers offered including 7 invited talks, three instrument papers, and a couple of brief papers have been rigorously reviewed and chosen from ninety three submissions. The papers hide numerous themes akin to algebra and type thought; automata and formal languages; concurrency; constraints, good judgment and semantic; software program structure and component-based layout; and verification.

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Extra resources for Algorithms - ESA 2015: 23rd Annual European Symposium, Patras, Greece, September 14-16, 2015, Proceedings

Sample text

Once again, we sort the columns, which will place the dirty rows in adjacent rows. We sort each m × m sub-matrix in alternating order, using Theorem 1, which will reduce the number of dirty rows to two. The rest of the argument is very similar to the one presented for Theorem 1. The next result might not sound very strong, but it will be very useful in the next section. It also reveals some differences between the partition and sorting problems. Note that the result is optimal as long as w is polynomial in m.

P [Yb < y] = 1 − ey ; buyers arrive in increasing order of their variables Yb . Once buyer b arrives, it probes edge ab with probability (exactly) αab βab xab = 12 xab — these probabilities are independent among different buyers. Thus, conditioning on the fact that b arrives, we obtain the following expression for the probability that a is safe at the moment when b arrives: P [ no b takes a before b| Ab ] ⎡ (1 − P [ Ab | Ab ] P [ b probes ab | Ab ] pab ) Ab ⎦ ≥ E⎣ ˆ = 0 ⎤ b ∈B\b:Yb

Sorting and Permuting without Bank Conflicts on GPUs 17 While the sorting problem is natural, we need to mention a few remarks regarding the permutation and the partition problems. Often these two problems are equivalent and thus there is little motivation to separate them. However rather surprisingly, it turns out that in our case these problems are in fact very different. Nonetheless, the permutation problem can be considered an “abstract” sorting problem where all the comparisons have been resolved and the goal is to merely send each item to its correct location.

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Algorithms - ESA 2015: 23rd Annual European Symposium, Patras, Greece, September 14-16, 2015, Proceedings by Nikhil Bansal, Irene Finocchi

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