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Results tagged with enumerative-combinatorics
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user 19729
10
votes
What is the Möbius function for the lattice of partial partitions?
Hersh, Hanlon, and Shareshian characterize the Möbius function of this lattice in a never-published preprint:
A $\operatorname{GL}_n(q)$ analogue of the partition lattice.
It is often 0, but/and agree …
- 3,407
1
vote
Morse matching with 0-cells and (n-1)-cells
In this answer, I want to 1) give a shorter approach than the above (avoiding gradient paths) to see that $\Delta P$ is homotopy equivalent to a disjoint union of bouquet of spheres plus isolated vert …
- 3,407