Simple cycles in the n-cube with a large group of automorphisms |
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| Authors: | A L Perezhogin |
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| Institution: | 1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
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| Abstract: | The cycle automorphism in the n-cube is an automorphism of the cube which keeps some cycle in its place and does not change its orientation. An upper bound is found for the order of the group of cycle automorphisms in the n-cube. We obtain the construction for building the long simple cycles for which the order of the group reaches the upper bound. |
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