60 citations · 292 across the 26 of their papers we have counts for
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math.CO2023★ 1 cited
A Persistence-Driven Edit Distance for Trees with Abstract Weights
Matteo Pegoraro
In this work we define a novel edit distance for trees considered with some abstract weights on the edges. The metric is driven by the idea of considering trees as topological summ…
math.CO2021★ 1 cited
A Graph-Matching Formulation of the Interleaving Distance between Merge Trees
Matteo Pegoraro
In this work we study the interleaving distance between merge trees from a combinatorial point of view. We use a particular type of matching between trees to obtain a novel formula…
math.CO2021★ 1 cited
A Finitely Stable Edit Distance for Functions Defined on Merge Trees
Matteo Pegoraro
In this work we define a metric structure to compare functions defined on different merge trees. The metric introduced possesses some stability properties, which we illustrate with…