Geodesic
\(S\)-crucial and bicrucial permutations with respect to squares
Journal of integer sequences, Tome 18 (2015) no. 6
A permutation is square-free if it does not contain two consecutive factors of length two or more that are order-isomorphic. A permutation is bicrucial with respect to squares if it is square-free but any extension of it to the right or to the left by any element gives a permutation that is not square-free.
Classification : 05A05, 68R15
Keywords: crucial permutation, bicrucial permutation, square, P -crucial permutation, S- crucial permutation 
@article{JIS_2015__18_6_a1,
     author = {Gent,  Ian and Kitaev,  Sergey and Konovalov,  Alexander and Linton,  Steve and Nightingale,  Peter},
     title = {\(S\)-crucial and bicrucial permutations with respect to squares},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {6},
     zbl = {1327.05005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a1/}
}
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AU  - Linton,  Steve
AU  - Nightingale,  Peter
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LA  - en
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%A Linton,  Steve
%A Nightingale,  Peter
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%J Journal of integer sequences
%D 2015
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%G en
%F JIS_2015__18_6_a1
Gent,  Ian; Kitaev,  Sergey; Konovalov,  Alexander; Linton,  Steve; Nightingale,  Peter. \(S\)-crucial and bicrucial permutations with respect to squares. Journal of integer sequences, Tome 18 (2015) no. 6. http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a1/