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The Computer Journal 1980 23(4):344-346; doi:10.1093/comjnl/23.4.344
© 1980 by British Computer Society
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On a subset of all the permutations of n marks

Y. L. Varol *

Computer Science Department, Southern Illinois University, Carbondale, USA

A subset of all the permutations of n marks arises naturally in interval exchange transformation problems. Each permutation p1p2 ... pn in the set represents a transformation having a dense orbit, and has the properties pi+1!=pi+1 and p1p2 ... pi is not a permutation of {1, 2, ..., i} for all i, 1≤i≤n–1. A recursive formula is given for the cardinality of this subset, and two algorithms for generating in alphabetic order all the permutations in it are presented.

Received February 1979.

* Computer Science Department, Southern Illinois University, Carbondale, Illinois 62901, USA


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