3 citations · 3 across the 8 of their papers we have counts for
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Multipath matroids, digraph colourings, and the Tutte polynomial
Luigi Caputi, Carlo Collari, Sabino Di Trani
We characterise the digraphs for which the multipaths, that is disjoint unions of directed paths, yield a matroid. For such graphs, called MP-digraphs, we prove that the Tutte poly…
Bridging between überhomology and double homology
Luigi Caputi, Daniele Celoria, Carlo Collari
We establish an isomorphism between the 0-degree überhomology and the double homology of finite simplicial complexes, using a Mayer-Vietoris spectral sequence argument. We clarify…
The weak categorical quiver minor theorem and its applications: matchings, multipaths, and magnitude cohomology
Luigi Caputi, Carlo Collari, Eric Ramos
Building upon previous works of Proudfoot and Ramos, and using the categorical framework of Sam and Snowden, we extend the weak categorical minor theorem from undirected graphs to…