6 citations · 9 across the 6 of their papers we have counts for
7 papers
Topology of Cut Complexes of Graphs
Margaret Bayer, Mark Denker, Marija Jelić Milutinović +3
We define the -cut complex of a graph with vertex set to be the simplicial complex whose facets are the complements of sets of size in inducing disconnecte…
Topology of complements of skeletons
Rowan Rowlands
Given a polytopal complex , we examine the topological complement of its -skeleton. We construct a long exact sequence relating the homologies of the skeleton complements and…
Total Cut Complexes of Graphs
Margaret Bayer, Mark Denker, Marija Jelić Milutinović +3
Inspired by work of Fröberg (1990), and Eagon and Reiner (1998), we define the \emph{total -cut complex} of a graph to be the simplicial complex whose facets are the complem…
A characterization of two-dimensional Buchsbaum matching complexes
Bennet Goeckner, Fran Herr, Legrand Jones +1
The matching complex of a graph is the set of all matchings in . A Buchsbaum simplicial complex is a generalization of both a homology manifold and a Cohen--Macaulay…
Relating CAT(0) cubical complexes and flag simplicial complexes
Rowan Rowlands
Given a finite CAT(0) cubical complex, we define a flag simplicial complex associated to it, called the crossing complex. We show that the crossing complex holds much of the combin…
Reconstructing -manifold subcomplexes of cubes from their -skeletons
Rowan Rowlands
In 1984, Dancis proved that any -dimensional simplicial manifold is determined by its -skeleton. This paper adapts his proof to the setting of cubical…
Syzygies of the apolar ideals of the determinant and permanent
Jarod Alper, Rowan Rowlands
We investigate the space of syzygies of the apolar ideals and of the determinant and permanent polynomials. Shafiei had…