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IMCS/Publications/CSJM/Issues/CSJM v.11, n.2 (32), 2003/

Gray Code for Cayley Permutations

Authors: J.-L. Baril
Keywords: Weak-order, Gray Code, Permutations, Combinations.

Abstract

A length-n Cayley permutation p of a total ordered set S is a length-n sequence of elements from S , subject to the condition that if an element x appears in p then all elements y < x also appear in p . In this paper, we give a Gray code list for the set of length-n Cayley permutations. Two successive permutations in this list differ at most in two positions.

J.-L. Baril,
LE2I, UMR-CNRS 5158, Universite de Bourgogne
BP 47870, 21078 Dijon cedex, France
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