The group of symmetries of the Tower of Hanoi graph

Details The group of symmetries of the Tower of Hanoi graph The group of symmetries of the Tower of Hanoi graph

2008-09-07

arxiv.org/abs/0809.1179v3

Mathematics

Combinatorics

8 pages, 6 figures; Minor revisions following referees comments. To appear in the American Mathematical Monthly

Scientific paper

I prove that the group of symmetries of the Tower of Hanoi graph with k pegs
and n disks, denoted H_n^k, is isomorphic to the group of permutations of k
elements, S_k, for all k greater than or equal to 3 and positive n.

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