Download e-book for kindle: Algorithms and Computation: 10th International Symposium, by Alok Aggarwal, C. Pandu Rangan

By Alok Aggarwal, C. Pandu Rangan

ISBN-10: 3540466320

ISBN-13: 9783540466321

ISBN-10: 3540669167

ISBN-13: 9783540669166

This ebook constitutes the refereed lawsuits of the tenth foreign Symposium on Algorithms and Computation, ISAAC'99, held in Chennai, India, in December 1999.
The forty revised complete papers awarded including 4 invited contributions have been rigorously reviewed and chosen from seventy one submissions. one of the themes coated are facts buildings, parallel and disbursed computing, approximation algorithms, computational intelligence, on-line algorithms, complexity concept, graph algorithms, computational geometry, and algorithms in perform.

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Extra info for Algorithms and Computation: 10th International Symposium, ISAAC’99 Chennai, India, December 16–18, 1999 Proceedings

Example text

Theorem 1. EXPIRY DATE STACK is 2-competitive. Proof. EXPIRY DATE STACK incurs cost 2 for each pair of an upwards and downwards step which is the first and last, respectively, on its ordinate. This is clear since it waits for 1 time unit after every such downwards step before deleting one thread. The optimum would be 1. Additionally, for every down-up pair of width w, EXPIRY DATE STACK obviously pays w if w < 1, and 2 else, whereas the optimum cost is min{w, 1}. Together this implies the result.

It is fairly obvious that the original algorithm is not more costly: It picks up the next idle thread from the stack as long as there is one. Hence creations are postponed or even avoided, and idle costs are saved. From this the assertion follows. ✷ EXPIRY DATE STACK (R) is highly random if we apply R independently to all threads that become idle. On the other hand, the proof of r-competitiveness does not rely on independent applications of R at all. ) So we might even fix a single b at random, and then use it everywhere!

And finally to provide a basis for proving lower bounds as well. Acknowledgements We would like to thank the anonymous reviewer for his/her helpful observations and suggestions. References 1. , Munro, J. , “Self Organizing Binary Search Trees”, J. M. 25(4) (1978), 526–535. 2. Adel’son-Vel’ski, G. , Landis, E. , “An Algorithm for the Organization of Information”, Soviet Mathematics Doklady 3 (1962), 1259–1263. 3. , “Organization and Maintenance of Large Ordered Indices”, Acta Informatica 1(3) (1972), 173–189.

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Algorithms and Computation: 10th International Symposium, ISAAC’99 Chennai, India, December 16–18, 1999 Proceedings by Alok Aggarwal, C. Pandu Rangan

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