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math.CO2018
Homomorphism Complexes and Maximal Chains in Graded Posets
Benjamin Braun, Wesley K. Hough
We apply the homomorphism complex construction to partially ordered sets, introducing a new topological construction based on the set of maximal chains in a graded poset. Our prima…
math.CO2016
Matching and Independence Complexes Related to Small Grids
Benjamin Braun, Wesley K. Hough
The topology of the matching complex for the grid graph is mysterious. We describe a discrete Morse matching for a family of independence complexes $\mathrm{Ind}(Δ_n^m)…