By David Peleg (auth.), Rossella Petreschi, Giuseppe Persiano, Riccardo Silvestri (eds.)

ISBN-10: 3540401768

ISBN-13: 9783540401766

ISBN-10: 3540448497

ISBN-13: 9783540448495

This e-book constitutes the refereed complaints of the fifth Italian convention on Algorithms and Computation, CIAC 2003, held in Rome, Italy in may well 2003.

The 23 revised complete papers awarded have been conscientiously reviewed and chosen from fifty seven submissions. one of the themes addressed are complexity, complexity concept, geometric computing, matching, on-line algorithms, combinatorial optimization, computational graph idea, approximation algorithms, community algorithms, routing, and scheduling.

**Read or Download Algorithms and Complexity: 5th Italian Conference, CIAC 2003, Rome, Italy, May 28–30, 2003. Proceedings PDF**

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**Extra info for Algorithms and Complexity: 5th Italian Conference, CIAC 2003, Rome, Italy, May 28–30, 2003. Proceedings**

**Sample text**

This paper presents a simple algorithm for the partial point set pattern matching in 2D. Given a set P of n points, called sample set, and a query set Q of k points (n ≥ k), the problem is to ﬁnd a matching of Q with a subset of P under rigid motion. In other words, whether each point in Q is matched with corresponding point in P under translation and/or rotation. The proposed algorithm requires O(n2 ) space and O(n2 logn) preprocessing time, and the worst case query time complexity is O(kαlogn), where α is the maximum number of equidistant pairs of points.

Each entry of χδ corresponds to a line segment = pi pm ∈ P ; it contains a 4-tuple {pi , pm , ptr1 , ptr2 }, where ptr1 and ptr2 point to two AVL-trees Si and Sm corresponding to the points pi and pm respectively. Unlike the earlier problem, here we don’t need to maintain the array S, but we need to maintain Si for each point pi , which is an end-point of a line segment in P . Let pi be an end point of a line segment ∈ P (the other end point of is say pm ). Si is an AVL-tree containing exactly n − 1 nodes, corresponding to the line segments in P \{ }.

Zachos, and C. Fragoudakis clause side w Fvar Tvar variable side Fig. 4. 2 Transformation of a Feasible Solution Suppose a truth assignment for the boolean expression is given. We will construct a guard placement that corresponds to the given truth assignment. 1, as follows: We place in each variable pattern a guard on vertex Fvar (Tvar ), if the truth value of the corresponding variable is FALSE (TRUE). We place in each literal pattern a guard on vertex Flit (Tlit ), if the truth evaluation of the literal is FALSE (TRUE).

### Algorithms and Complexity: 5th Italian Conference, CIAC 2003, Rome, Italy, May 28–30, 2003. Proceedings by David Peleg (auth.), Rossella Petreschi, Giuseppe Persiano, Riccardo Silvestri (eds.)

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