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By Giorgio Ausiello, Stefano Leonardi, Alberto Marchetti-Spaccamela (auth.), Giancarlo Bongiovanni, Rossella Petreschi, Giorgio Gambosi (eds.)

The papers during this quantity have been provided on the Fourth Italian convention on Algorithms and Complexity (CIAC 2000). The convention came about on March 1-3, 2000, in Rome (Italy), on the convention middle of the college of Rome \La Sapienza". This convention was once born in 1990 as a countrywide assembly to be held each 3 years for Italian researchers in algorithms, information buildings, complexity, and parallel and allotted computing. as a result of a signi cant participation of international reaserchers, ranging from the second one convention, CIAC developed into a global convention. in accordance with the decision for papers for CIAC 2000, there have been forty-one subm- sions, from which this system committee chosen 21 papers for presentation on the convention. every one paper used to be evaluated through a minimum of 3 application committee contributors. as well as the chosen papers, the organizing committee invited Giorgio Ausiello, Narsingh Deo, Walter Ruzzo, and Shmuel Zaks to offer plenary lectures on the convention. we want to convey our appreciation to all of the authors of the submitted papers, to this system committee individuals and the referees, to the organizing committee, and to the plenary academics who permitted our invitation.

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Extra info for Algorithms and Complexity: 4th Italian Conference, CIAC 2000 Rome, Italy, March 1–3, 2000 Proceedings

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These situations are handled similarly; see [9] for details. Finally, we remark that the cost computed by the techniques outlined above is a lower bound, but not necessarily an attainable bound, on the cost of any ordering consistent with that specified at a search tree node. In particular, in the case where the solution to the linear system Mx = r exhibits a different ordering than the one from which the system was constructed, we know that the bound is not attainable by the desired ordering. It is still valid to use this bound to prune the search tree, since we know the bound is attainable by some (other) ordering.

This is remedied by modifying the system to arbitrarily place probe 1 at location x1 = 0. There may be additional degrees of freedom in the solutions. In particular, at high levels in the tree the small set of ordered probes may be partitioned into several disconnected components whose relative positions are unconstrained. These situations are handled similarly; see [9] for details. Finally, we remark that the cost computed by the techniques outlined above is a lower bound, but not necessarily an attainable bound, on the cost of any ordering consistent with that specified at a search tree node.

Some Computational Problems from Genomic Mapping. PhD thesis, Department of Computer Science and Engineering, University of Washington, 1997. [7] William R. Newell, Richard Mott, S. Beck, and Hans Lehrach. Construction of genetic maps using distance geometry. Genomics, 30:59–70, 1995. [8] William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian Flannery. Numerical Recipes in C. Cambridge University Press, 1992. [9] Joshua Redstone and Walter L. Ruzzo. Algorithms for ordering DNA probes on chromosomes.

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