Tien-Ching Lin

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Given a sequence of n real numbers A = a1, a2,. .. , an and a positive integer k, the Sum Selection Problem is to find the segment A(i, j) = ai, ai+1,. .. , aj such that the rank of the sum s(i, j) = È j t=i at is k over all n(n−1) 2 segments. We present a deterministic algorithm for this problem that runs in O(n log n) time. The previously best known(More)
A prototype is representative of a set of similar objects. This paper proposes an approach that formulates the problem of prototype generation as finding the mean from a given set of objects, where the prototype solution must satisfy certain constraints. These constraints describe the important perceptual features of the sample shapes that the proposed(More)
The spanning ratio and maximum detour of a graph G embedded in a metric space measure how well G approximates the minimum complete graph containing G and metric space, respectively. In this paper we show that computing the spanning ratio of a rectilinear path P in L 1 space has a lower bound of Ω(n log n) in the algebraic computation tree model and describe(More)