Abstract: It is known that, when n is even, the number of permutations of {1,2,...,n} all of whose cycles have odd length equals the number of those all of whose cycles have even length. Adin, Hegedüs ...

The major challenge when working with permutations is that the factorial function gets very, very large very, very quickly. The BigInteger data type was introduced in the .NET Framework 4.0; it ...

Eulerian polynomials have long occupied a central role in combinatorics, encapsulating critical information about permutation statistics. In their classical formulation, these polynomials encode the ...

Hi everyone,<BR><BR>Let's say I have 4 numbers: 1234.<BR><BR>I wish to find out all possible permutations of this 4 numbers. I believe there is a total of 12 permutations.<BR><BR>I couldnt figure out ...

The parity-identification problem fits naturally into this landscape. Parity is a global property, insensitive to most local details. In this respect, it resembles many other quantities studied in ...