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Results tagged with co.combinatorics
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user 23252
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
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encodings testable by querying few bits
Suppose you want an encoding of the integers $ \{0,1,2,\ldots,N-1\} $ into bitstrings. Two ways to do this are standard binary place value and unary encoding. The binary place value method is efficien …
- 335
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How many ways can a given permutation be obtained as a product of k 2-cycles?
Let $\sigma_1, \ldots, \sigma_b$ be all the 2-cycles in $S_n$. (So, $b = \binom{n}{2}$.) Given $\pi \in S_n$, what is known about how many ways $\pi$ can be obtained as a product of $k$ (not necessari …
- 335