Reconstructing Sets From Interpoint Distances

作者: Paul Lemke , Steven S. Skiena , Warren D. Smith

DOI: 10.1007/978-3-642-55566-4_27

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摘要: Which point sets realize a given distance multiset? Interesting cases include the “turnpike problem” where points lie on line, “beltway loop, and multidimensional versions. We are interested both in algorithmic problem of determining such for collection distances combinatorial finding bounds maximum number different solutions. These problems have applications genetics crystallography.

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