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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.
0
votes
1
answer
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Is the union-closed sets conjecture open for the power sets case?
In a paper published by Bruhn and Schaudt, as well as in a presentation given by Bruhn, they point out how the union-closed sets conjecture is tight for power sets, implying it is still open. I am co …
9
votes
3
answers
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Is this a new Fibonacci Identity? [closed]
I have found the following Fibonacci Identity (and proved it).
If $F_n$ denotes the nth Fibonacci Number, we have the following identity
\begin{equation}
F_{n-r+h}F_{n+k+g+1} - F_{n-r+g}F_{n+k+h+ …