24 citations · 81 across the 19 of their papers we have counts for
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math.CO2022
Monotone cohomologies and oriented matchings
Luigi Caputi, Daniele Celoria, Carlo Collari
In this paper, we extend the definition of cohomology associated to monotone graph properties, to encompass twisted functor coefficients. We introduce oriented matchings on graphs,…
math.CO2021
Filtered simplicial homology, graph dissimilarity and überhomology
Daniele Celoria
We introduce a filtration on the simplicial homology of a finite simplicial complex X using bi-colourings of its vertices. This yields two dual homology theories closely related to…
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…