Titlebook: SWAT ‘88; 1st Scandinavian Wor Rolf Karlsson,Andrzej Lingas Conference proceedings 1988 Springer-Verlag Berlin Heidelberg 1988 Algorithms.R

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An implicit binomial queue with constant insertion time,action in logarithmic time. In developing this structure we first introduce a very simple scheme permitting insertions in constant amortized time. This is modified to achieve the worst-case behavior using roughly lg*. pairs of pointers, and finally this pointer requirement is removed.

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Intersecting line segments, ray shooting, and other applications of geometric partitioning techniqu results are obtained by enhancing and extending these techniques, and include: (i) An .(..+.)-time (for any δ>0), .(.)-space randomized algorithm for finding all . intersections of . line segments in the plane (we can count the number of these intersections in .(..) time and linear space). (ii) Pre

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A lower bound and two approximative algorithms for the K-partitioning of rectilinear polygons,ch, where . is given and .<.. First we prove a lower bound .(.) for the number of components in the .-partition of a given .-gon .. Then two heuristic algorithms for the .-partitioning problem are presented. Their time complexities are O(. log..) or O(..log .), depending on the properties of the giv