Geodesic
About straight automorphisms of Hamilton cycles in the Boolean $n$-cube
Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 4, pp. 32-42

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The upper bound for order of straight automorphism group of Hamilton cycle in the $n$-cube is obtained. It is proved that this bound is accessible if and only if the orbit graph of some fixed automorphism of the $n$-cube contains a Hamilton cycle satisfying an additional condition. Bibliogr. 11.
Keywords: $n$-cube, Hamilton cycle
Mots-clés : automorphism. 
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     author = {A. L. Perezhogin},
     title = {About straight automorphisms of {Hamilton} cycles in the {Boolean} $n$-cube},
     journal = {Diskretnyj analiz i issledovanie operacij},
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A. L. Perezhogin. About straight automorphisms of Hamilton cycles in the Boolean $n$-cube. Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 4, pp. 32-42. http://geodesic.mathdoc.fr/item/DA_2010_17_4_a2/