By Kurt Mehlhorn (auth.), Tiziana Calamoneri, Irene Finocchi, Giuseppe F. Italiano (eds.)

ISBN-10: 354034375X

ISBN-13: 9783540343752

This e-book constitutes the refereed lawsuits of the sixth Italian convention on Algorithms and Computation, CIAC 2006, held in Rome, Italy, in may well 2006.

The 33 revised complete papers provided including three invited papers have been conscientiously reviewed and chosen from eighty submissions. one of the issues addressed are sequential, parallel and dispensed algorithms, information constructions, approximation algorithms, randomized algorithms, online algorithms, graph algorithms, research of algorithms, set of rules engineering, algorithmic online game idea, computational biology, computational complexity, communique networks, computational geometry, cryptography, discrete optimization, graph drawing, mathematical programming, and quantum algorithms.

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Additional info for Algorithms and Complexity: 6th Italian Conference, CIAC 2006, Rome, Italy, May 29-31, 2006. Proceedings

Example text

From the set of input lines. Then, they compute the repeated median line estimator for all (points dual to) lines in R and a candidate strip b, e that is supposed to contain the (global) final result. To verify that b, e indeed contains the median-of-median intersection, the algorithm of Matouˇsek et al. then counts the number of medians that lie to the left, inside, and to the right of b, e , respectively. They do so by computing all of these counts during a single run of a modification of the inversion-counting algorithm.

Rawitz, and S. Shahar Definition 3. Let (x, y) and (x, y ) be partial covers. We say that y dominates y if (i) fy (u) ≥ fy (u), for every u ∈ U, and (ii) fy (S) ≥ fy (S), for every S ∈ S. We write y y to denote that y dominates y. Observation 4. Let (x, y) denote a partial cover. Then one can find in polynomial time a maximum vector y with respect to x that also dominates y. Proof. We use an augmenting path algorithm to compute a maximum flow f in Nx starting with fy . The flow f induces the desired vector y y since saturating an augmenting path from s to t never decreases the flow in edges exiting s, or in edges entering t.

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Algorithms and Complexity: 6th Italian Conference, CIAC 2006, Rome, Italy, May 29-31, 2006. Proceedings by Kurt Mehlhorn (auth.), Tiziana Calamoneri, Irene Finocchi, Giuseppe F. Italiano (eds.)


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