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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 …
user1020406's user avatar
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\\ …
user1020406's user avatar