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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.

4 votes
1 answer
506 views

Number of different positions of rooks on chessboard

I know that this topic as been mentioned before, but no accurate answer has been provided. Suppose we have to place $n$ rooks on $n \times n$ chessboard so that no one attacks another. How to count t …
maciek's user avatar
  • 173
3 votes
2 answers
280 views

on counting the number of trees on Kn (case)

During my reasearch I have stumbled across a problem that can be presented in such way: "How many are there spanning trees on Kn such that every tree contains v: deg(v) = k, for a given k" The verti …
maciek's user avatar
  • 173