A Fast Bitwise Algorithm for Computing the Subset Partial Order
نویسنده
چکیده
A given collection of sets has a natural partial order induced by the subset relation. Let the size N of the collection be deened as the sum of the car-dinalities of the sets that comprise it. Algorithms have recently been discovered that compute the partial order in worst-case time O(N 2 = log N). This paper gives a variant implementation of a previously proposed algorithm which is shown to have a worst-case complexity of O(N 2 (log log N) 2 = log 2 N) operations on a RAM with (log N) bit words. This is the rst known o(N 2 = log N) worst-case running time.
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تاریخ انتشار 1995