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We show, with an elementary proof, that the number of halving simplices in a set of n points in R4 in general position is O(n4-2/45). This improves the previous bound of O(n4-1/13...
We give an elementary proof for the Positivity Problem for second order recurrent sequences: it is decidable whether or not a recurrent sequence defined by un = aun-1 + bun-2 has ...
Abstract. This paper presents an elementary proof of the HannenhalliPevzner theorem on the reversal distance of two signed permutations. It uses a single PQ-tree to encode the vari...