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 might 2003.

The 23 revised complete papers offered have been rigorously reviewed and chosen from fifty seven submissions. one of the subject matters addressed are complexity, complexity conception, geometric computing, matching, on-line algorithms, combinatorial optimization, computational graph conception, 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 resources for Algorithms and Complexity: 5th Italian Conference, CIAC 2003, Rome, Italy, May 28–30, 2003. Proceedings**

**Example text**

Let us describe a reduction from Max-5-occurrence-3-Sat to the watching version of Maximum Value Vertex/Edge Guard. We ﬁrst construct the polygon using the appropriate gadgets (depending on the kind of guards as explained above). We then discretize the boundary using the Finest Visibility Segmentation (FVS) described in [12]. Let us recall this technique: we use the visibility graph VG (P ). By extending edges of VG (P ) inside P up to the boundary of P we obtain a set of points F V S on the boundary of P (F V S includes of course all corners of P ) (see Figure 6a).

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. Let δ > 0 be an integer such that the number of FVS segments in any of the (previously) “cheap” edges of a clause pattern is at most δn. We assign value 1 to every FVS segment which belongs to a (previously) “cheap” edge of a clause pattern.

A similar situation as described in Remark 1 can be used to shows that there is no update-optimal algorithm for the convex hull problem with arbitrary areas. References 1. A. Borodin and R. El-Yaniv, “Online Computation and Competitive Analysis,” Cambridge University Press, 1998. 2. T. Feder, R. Motwani, R. Panigrahy, C. Olston, and J. Widom, “Computing the Median with Uncertainty,” Proc 32nd ACM STOC, 602-607, 2000. 3. T. Feder, R. Motwani, L. O’Callaghan, C. Olston and R. Panigrahy, “Computing Shortest Paths with Uncertainty,” Proc 20th STAC, LNCS 2607, 355-366.

### 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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