8 citations · 30 across the 12 of their papers we have counts for
4 papers · 1 filter
On finite generation in magnitude (co)homology, and its torsion
Luigi Caputi, Carlo Collari
The aim of this paper is to apply the framework, which was developed by Sam and Snowden, to study structural properties of graph homologies, in the spirit of Ramos, Miyata and Prou…
Hochschild homology, and a persistent approach via connectivity digraphs
Luigi Caputi, Henri Riihimäki
We introduce a persistent Hochschild homology framework for directed graphs. Hochschild homology groups of (path algebras of) directed graphs vanish in degree . To extend…
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…
Multipath cohomology of directed graphs
Luigi Caputi, Carlo Collari, Sabino Di Trani
This work is part of a series of papers focusing on multipath cohomology of directed graphs. Multipath cohomology is defined as the (poset) homology of the path poset -- i.e., the…