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Endomorphism monoids containing all permutations

โœ Scribed by R. Birkenhead


Book ID
112760209
Publisher
Springer
Year
1981
Tongue
English
Weight
85 KB
Volume
13
Category
Article
ISSN
0002-5240

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Short strings containing all k-element p
โœ Carla Savage ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 166 KB

Given n and k, we consider the problem of conslructing a shortest string over the, set ~. ={1,2 ..... n} which contains every permulation of each k-element subset of ~, as a scbsequence. Let g(n, k) denote the length of a shorte,;t such string. We show by construction tic, a: g(n, k) <~ k(n -2) + 4