G. Petri

activity

20152021

most citedThe physics of higher-order interactions in complex systems

938 citations · 966 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.AT2020

Homological Scaffold via Minimal Homology Bases

Marco Guerra, Alessandro De Gregorio, Ulderico Fugacci +2

The homological scaffold leverages persistent homology to construct a topologically sound summary of a weighted network. However, its crucial dependency on the choice of representa…

math.AT2015★ 4 cited

$P$ -persistent homology of finite topological spaces

Francesco Vaccarino, Alice Patania, Giovanni Petri

Let $P$ be a finite poset. We will show that for any reasonable $P$ -persistent object $X$ in the category of finite topological spaces, there is a $P -$ weighted graph, whose clique…

Homological Scaffold via Minimal Homology Bases

P-persistent homology of finite topological spaces

$P$ -persistent homology of finite topological spaces