Abstract:Permutations are discrete structures that naturally model a genome where every gene occurs exactly once. In a permutation over the given alphabet [Formula: see text], each symbol of [Formula: see text] appears exactly once. A transposition operation on a given permutation [Formula: see text] exchanges two adjacent sublists of [Formula: see text]. If one of these sublists is restricted to be a prefix then one obtains a prefix transposition. The symmetric group of permutations with [Formula: see text] symbols de… Show more
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