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Results tagged with co.combinatorics
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user 9417
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
0
votes
What are the applications of hypergraphs?
I'll go ahead and plug a paper of mine in the hopes it will generate more interest in it, Boolean formulae, hypergraphs, and combinatorial topology which I wrote with my student Oliver Thistlethwaite …
- 4,898
7
votes
2
answers
327
views
An identity in the free associative algebra
Let $V$ be a finite dimensional vector space over a field of characteristic $0$, and let $T(V)$ be the tensor algebra (also called the free associative algebra) on $V$. This is actually a Hopf algebra …
- 33.8k
5
votes
Accepted
Discrete Morse theory and existence of minimal complex
This is not exactly what you asked, but it's certainly not the case that every CW complex has a discrete vector field where the Morse complex has trivial differential. In particular this would imply t …
- 4,898
9
votes
Computing homology of very large posets
I've found that discrete Morse theory is very helpful in this context. Here's a link to a nice article by Forman. If you can define a good discrete vector field, it's often possible to drastically red …
- 4,898