By David Peleg (auth.), Rossella Petreschi, Giuseppe Persiano, Riccardo Silvestri (eds.)
This publication constitutes the refereed court cases of the fifth Italian convention on Algorithms and Computation, CIAC 2003, held in Rome, Italy in could 2003.
The 23 revised complete papers offered have been conscientiously reviewed and chosen from fifty seven submissions. one of the issues addressed are complexity, complexity idea, geometric computing, matching, on-line algorithms, combinatorial optimization, computational graph thought, approximation algorithms, community algorithms, routing, and scheduling.
Read Online or Download Algorithms and Complexity: 5th Italian Conference, CIAC 2003, Rome, Italy, May 28–30, 2003. Proceedings PDF
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Extra resources for Algorithms and Complexity: 5th Italian Conference, CIAC 2003, Rome, Italy, May 28–30, 2003. Proceedings
The objective of the point set pattern matching problem is to determine the resemblance of two point sets P and Q (representing two diﬀerent objects), under diﬀerent transformations. The most simple kind of transformation is translation. If rotation is allowed along with translation, it is called rigid motion or congruence. Other transformations include reﬂection and scaling. The latter refers to magnifying (or reducing) the object by a certain factor π. Combination of rotation, translation and scaling is called similarity.
There are O(n2 ) points in F V S and these points are endpoints of line segments with the following property: for any vertex y, a segment (a, b) deﬁned by consecutive F V S points is visible by y iﬀ it is watched by y. Furthermore (a, b) is watched (and visible) by an edge e iﬀ it is watched by any point in F V S ∩ e. Thus we can ﬁnd the set of line segments E (v) (E (e)) which are watched by a vertex v (edge e) within polynomial time. Every edge in a clause pattern will be subdivided into O(n) FVS segments, because it can be watched only by vertices in variable patterns.
2. , Art Gallery Theorems and Algorithms, Oxford Univ. Press, New York, 1987. Maximizing the Guarded Boundary of an Art Gallery Is APX-Complete 35 3. , Recent results in Art Galleries, Proc. of the IEEE, 1992. 4. , Art gallery and Illumination Problems, Handbook on Comput. Geometry, 1998. 5. , (In-)Approximability of Visibility Problems on Polygons and Terrains, PhD Thesis, ETH Zurich, 2000. 6. , Inapproximability Results for Guarding Polygons without Holes, Lecture notes in Computer Science, Vol.