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

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Biased Skip Lists the time to access item . is . (1 + log W/..), where . = Σ.=1...; the data structure is dynamic. We present deterministic and randomized variations, which are nearly identical; the deterministic one simply ensures the balance condition that the randomized one achieves probabilistically. We use the
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On the Comparison-Addition Complexity of All-Pairs Shortest Pathse number of edges and vertices, resp., and . = .(.) is Tarjan’s inverse-Ackermann function. Our algorithm eliminates the sorting bottleneck inherent in approaches based on Dijkstra’s algorithm, and for graphs with .(.) edges our algorithm is within a tiny .(log .) factor of optimal. The algorithm ca
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Non-Delaunay-Based Curve Reconstructioned on bounding curvature to determine monotone pieces of the curve. Theoretical guarantees are established. The implemented algorithm, based heuristically on the theory, proceeds by iteratively partitioning the sample points using an octree data structure. The strengths of the approach are (a) simpl
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Cutting a Country for Smallest Square Fit rotation — they have the minimum possible bounding square. If we cut with a single horizontal or vertical segment, then we can compute an optimal solution for a convex polygon with . vertices in .) time. For simple polygons we give an .(..g.(.) log .) time algorithm.
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