Time and space tradeoffs in point location

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We preprocess the input subdivision with n points on the plane in O(n√log n) time and store them in O(n/t) space to facilitate point location in O(log t) time, where t is an adjustable parameter. When t is a constant we get O(n) space and constant time. When t = O(n) we get constant space and O(log n) time.

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Introduction -- The O(N√log N) time sorting algorithm for sorting real numbers -- Point location -- Main theorem -- Conclusions

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M.S. (Master of Science)

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