๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Shortest string containing all permutations

โœ Scribed by P.J. Koutas; T.C. Hu


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
1007 KB
Volume
11
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

โœฆ Synopsis


Revkd t 7 M


๐Ÿ“œ SIMILAR VOLUMES


A new bound on the length of the shortes
โœ Cai Mao-cheng ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB

The purpose of this note is to give a new upper bound of the shortest string containing all r-permutations. Thus we disprove the conjecture considered in Cl]. The terminology used in this note fullows [I]. Koutas and Nu [I] proposed the foIlowing problem of constructing a shortest string of (1, 2,

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

On strings containing all subsets as sub
โœ Witold Lipski Jr. ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 998 KB

Let s,, be the length of a shortest sequence cf positive integers which contains every Yc(l,..., d}-as a subsequence of IY 1 consecutive terms. We give the following asymptotic estimation\* (2/7rnY22" d S . n Q (2/7r)2". TIC. upper bound is derived constructively.