Generating permutations with a given major index
Abstract
In [S. Effler, F. Ruskey, A CAT algorithm for listing permutations with a given number of inversions, I.P.L., 86/2 (2003)] the authors give an algorithm, which appears to be CAT, for generating permutations with a given major index. In the present paper we give a new algorithm for generating a Gray code for subexcedant sequences. We show that this algorithm is CAT and derive it into a CAT generating algorithm for permutations with a given major index.
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