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Titlebook: Algorithms and Computation; 4th International Sy K. W. Ng,P. Raghavan,F. Y. L. Chin Conference proceedings 1993 Springer-Verlag Berlin Heid

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Treewidth of circle graphs,ersection graph of a finite collection of chords of a circle. The TREEWIDTH problem can be viewed upon as the problem of finding a chordal embedding of the graph that minimizes the clique number. Our algorithm to determine the treewidth of a circle graph can be implemented to run in ..) time, where . is the number of vertices of the graph.
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Double-ended binomial queues,wing amortized time bounds: .(1) for ., and . operations, and .(logn) for ., arbitrary ., and . operations. An .-node d-b-queue can be constructed in 1.75. comparisons. Our results include a simple proof of .(1) amortized time merging for ordinary binomial queues.
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Adaptive and oblivious algorithms for d-cube permutation routing, 7 (called 7-cube). We also prove an ./log .) lower bound for the class of deterministic restricted oblivious permutation routing algorithms. Finally, we design optimal deterministic oblivious permutation routing on the .-cube, . ≤ 6.
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https://doi.org/10.1007/3-540-57568-5AAC; Algorithms; Automat; DOM; algorithm; automata; complexity; computability; robot; robotics; combinatorics
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