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Results tagged with co.combinatorics
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user 7742
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
3
votes
The time to drift a binary string from one state to another via deterministic selection of t...
Ignoring the specific binary string structure of the problem for a moment, let's generalize it to an arbitrary digraph $G$ with vertices $V$ and edges $E$ divided into two disjoint subsets $E = E_\mat …
- 1,299
32
votes
Accepted
The 1-step vanishing polyplets on Conway's game of life
Here are two more vanishing 12-plets similar to yours:
$$
\substack{
\displaystyle{◻◻◼◻◻◻} \cr
\displaystyle{◻◻◻◼◻◻} \cr
\displaystyle{◻◻◼◼◼◼} \cr
\displaystyle{◼◼◼◼◻◻} \cr
\displaystyle{◻◻◼◻◻◻} \cr
…
- 1,299
9
votes
Accepted
Generalization of a mind-boggling box-opening puzzle
Anna opens the boxes in row-wise, that is, in the order: $1,2,3,4,5,6$. Bert opens the boxes column-wise: $1,4,2,5,3,6$. In the $15$ ways to distribute the two presents into the $6$ boxes, Anna finds …
- 1,299