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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.

1 vote
2 answers
167 views

Number of zeroes and sign switches in a constructed zero-sum double sequence

See also StackExchange. Setup. Let $n\in\Bbb N$. Let $a_{1,1}, a_{1,2},\dots, a_{1,n}\in\Bbb R$ be a given sequence of real numbers that sum to $0$, i.e. $a_{1,n}=-(a_{1,1}+a_{1,2}+\dots+a_{1,n-1})$. …
Maximilian Janisch's user avatar
17 votes
3 answers
2k views

When is the number of areas obtained by cutting a circle with $n$ chords a power of $2$?

Also posted on the Math Stackexchange: When is the number of areas obtained by cutting a circle with $n$ chords a power of $2$? Introduction Recently, a friend told me about the following interestin …
Maximilian Janisch's user avatar