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We consider the problem of scheduling a parallel loop with independent iterations on a network of heterogeneous workstations , and demonstrate the effectiveness of a variant of fa.toring, a scheduling policy originating in the context of shared address-space homogeneous multiprocessors. In the new scheme, weighted factoring, processors are dynamically… (More)

Chernoff-Hoeffding bounds are fundamental tools used in bounding the tail probabilities of the sums of bounded and independent random variables. We present a simple technique which gives slightly better bounds than these, and which more importantly requires only limited independence among the random variables, thereby importing a variety of standard results… (More)

The problem of comparing two sequences A and B to determine their LCS or the edit distance between them has been much studied. In this paper we consider the following incremental version of these problems: given an appropriate encoding of a comparison between A and B, can one incrementally compute the answer for A and bB, and the answer for A and Bb with… (More)

A perfect single tandem repeat is defined as a nonempty string that can be divided into two identical substrings, e.g., abcabc. An approximate single tandem repeat is one in which the substrings are similar, but not identical, e.g., abcdaacd. In this paper we consider two criterions of similarity: the Hamming distance (k mismatches) and the edit distance (k… (More)

This paper gives the first optimal bounds for classical closed hashing schemes in the case of limited random-ness. We thereby establish the first proof of optimal-ity for hashing arbitrarily selected data, by virtually any classical closed scheme, with hash functions that are programmable and initialized by a small number of random bits. Let D = (xl,… (More)