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• W2886476296 abstract "There has recently been a resurgence of interest in the shortest common superstring problem due to its important applications in molecular biology (e.g., recombination of DNA) and data compression. The problem is NP-hard, but it has been known for some time that greedy algorithms work well for this problem. More precisely, it was proved in a recent sequence of papers that in the worst case a greedy algorithm produces a superstring that is at most β times (2≤β≤ 4 ) worse than optimal. We analyze the problem in a probabilistic framework, and consider the optimal total overlap O n opt and the overlap O n rg produced by various greedy algorithms. These turn out to be asymptotically equivalent. We show that with high probability $lim_{nto infty} O_n^{rm opt}/(nlog n) =lim_{nto infty} O_n^{rm rg}/(nlog n) =1/H$ , where n is the number of original strings and H is the entropy of the underlying alphabet. Our results hold under a condition that the lengths of all strings are not too short." @default.
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• W2886476296 date "1998-05-01" @default.
• W2886476296 modified "2023-09-29" @default.
• W2886476296 title "Greedy Algorithms for the Shortest Common Superstring That Are Asymptotically Optimal" @default.
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• W2886476296 doi "https://doi.org/10.1007/pl00009207" @default.
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