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Results tagged with co.combinatorics
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user 4344
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
4
votes
Trees with the same degree sequences
Let $G$ be the Dynkin diagram of $A_5$ and $H$ be the Dynkin diagram of $D_5$. Then $G$ can be extended to the Dynkin diagram of $E_6$, while $H$ can be extended to the Dynkin diagram of $D_6$. Thes …
- 5,137
5
votes
Small simplicial complexes with torsion in their homology?
You might be able to do slightly better than with David's construction, but still with a number of vertices linear in $p$. Namely, you present the group $\mathbb{Z}/p\mathbb{Z}$ by a single generator …
- 5,137
1
vote
Unique way to partition into two parts of equal weight
Just an expansion on my comment. I will assume that exact sequences need to have half the number of indices of the whole sequence. Then a sequence is exact for some choice of weights if and only if it …
- 5,137