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Protein structure provides insight into the evolutionary origins, functions, and mechanisms of proteins. We are pursuing a minimalist approach to protein fold identification that characterizes possible folds in terms of consistency of their geometric features with restraints derived from relatively cheap, high-throughput experiments. One such experiment is residue-specific cross-linking analyzed by mass spectrometry. This paper presents a suite of novel lower- and upper-bounding algorithms forpmid:14992524 fatcat:pk2ixt6u4fa6lav5nopyri2u7a