Cover: Minimal Scrambling Sets of Simple Orders.

Minimal Scrambling Sets of Simple Orders.

Published 1971

by J. H. Spencer

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Let 2 less than or equal to k less than n be fixed integers. A family F of simple orders on an n element set is said to be k-suitable if, of every k elements in the n set, each one is the "largest" of the k in some simple order in F. Bounds are found on the minimal size of such an F. F is said to be k*-suitable if, for every k elements in the n set, each permutation of the k elements is realized in some simple order in F. Again bounds are found on the minimal size of such an F. 14 pp. Ref. (Author)

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