Geodesic
$S$-crucial and bicrucial permutations with respect to squares
Journal of integer sequences, Tome 18 (2015) no. 6.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {18},
     number = {6},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a1/}
}
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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/