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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
1
vote
Accepted
Bike lock graph
EDIT: I've just realized that I answered a different question than was asked. The answer assumes that each of the $k$ dials needs to turn by 1 in the same direction. I'm leaving the answer as is in ca …
8
votes
3
answers
433
views
Latin squares with one cycle type?
Cross posting from MSE, where this question received no answers.
The following Latin square
$$\begin{bmatrix}
1&2&3&4&5&6&7&8\\
2&1&4&5&6&7&8&3\\
3&4&1&6&2&8&5&7\\
4&3&2&8&7&1&6&5\\
5&6&7&1&8&4&3&2\\
…