Titlebook: Algorithms and Computation; 13th International S Prosenjit Bose,Pat Morin Conference proceedings 2002 Springer-Verlag Berlin Heidelberg 200

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Ernst-Ulrich Huster,Johannes D. Schüttesequence where the key values are assigned arbitrarily to unordered data as fast as any offline binary search tree algorithm, within a multiplicative constant. Asymptotically tight upper and lower bounds are presented for key-independent optimality. Splay trees are shown to be key-independently optimal.

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Scham, K?rper, Geheimnis und Ged?chtnisl words w.,..., ..) is decidable, settling an open problem in [.,.]. The proof is a rather involved reduction to the solution of a special class of Diophantine systems of degree 2 via a class of programs called two-phase programs. The result has applications to verification of infinite state systems.

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On the Comparison-Addition Complexity of All-Pairs Shortest Pathsn approaches based on Dijkstra’s algorithm, and for graphs with .(.) edges our algorithm is within a tiny .(log .) factor of optimal. The algorithm can be implemented to run in polynomial time (though it is not a pleasing polynomial). We leave open the problem of providing an efficient implementation.

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The Probability of a Rendezvous Is Minimal in Complete Graphslity for a rendezvous to occur in . is at least as large as the probability of a rendezvous if the same experiment is carried out in the complete graph on the same number of nodes. In this paper we show that this is the case.

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