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math.CO2019
Partition and Cohen-Macaulay Extenders
Joseph Doolittle, Bennet Goeckner, Alexander Lazar
If a pure simplicial complex is partitionable, then its -vector has a combinatorial interpretation in terms of any partitioning of the complex. Given a non-partitionable complex…
math.CO2019
Manifold Matching Complexes
Margaret Bayer, Bennet Goeckner, Marija Jelić Milutinović
The matching complex of a graph is the simplicial complex whose vertex set is the set of edges of the graph with a face for each independent set of edges. In this paper we complete…