Expected Time and Linear Space
نویسندگان
چکیده
We present a randomized algorithm sorting n integers in O(n p log logn) expected time and linear space. This improves the previous O(n log logn) bound by Anderson et al. from STOC’95. As an immediate consequence, if the integers are bounded by U , we can sort them in O(n p log logU) expected time. This is the first improvement over the O(n log logU) bound obtained with van Emde Boas’ data structure from FOCS’75. At the heart of our construction, is a technical deterministic lemma of independent interest; namely, that we split n integers into subsets of size at most p n in linear time and space. This also implies improved bounds for deterministic string sorting and integer sorting without multiplication.
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