24 citations · 81 across the 19 of their papers we have counts for
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math.CO2020★ 3 cited
Filtered matchings and simplicial complexes
Daniele Celoria, Naya Yerolemou
To any finite simplicial complex X, we associate a natural filtration starting from Chari and Joswig's discrete Morse complex and abutting to the matching complex of X. This constr…
math.GT2020
A discrete Morse perspective on knot projections and a generalised clock theorem
Daniele Celoria, Naya Yerolemou
We obtain a simple and complete characterisation of which matchings on the Tait graph of a knot diagram induce a discrete Morse function (dMf) on , extending a construction du…