24 citations · 81 across the 19 of their papers we have counts for
4 papers · 1 filter
Knot intensity distribution: a local measure of entanglement
Agnese Barbensi, Daniele Celoria
The problem of finding robust and effective methods for locating entanglement in embedded curves is relevant to both applications and theoretical investigations. Rather than focusi…
GridPyM: a Python module to handle grid diagrams
Agnese Barbensi, Daniele Celoria
Grid diagrams are a combinatorial version of classical link diagrams, widely used in theoretical, computational and applied knot theory. Motivated by questions from (bio)-physical…
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,…
Categorifying connected domination via graph überhomology
Luigi Caputi, Daniele Celoria, Carlo Collari
Überhomology is a recently defined homology theory for simplicial complexes, which yields subtle information on graphs. We prove that bold homology, a certain specialisation of übe…