217 citations · 353 across the 40 of their papers we have counts for
4 papers · 1 filter
Using Persistent Homology to Analyze Access to Heterogeneous-Quality Resources and Heterogeneous-Severity Nuisances
Sarah Tymochko, Gillian Grindstaff, Abigail Hickok +2
We develop a framework to use multiparameter persistent homology (PH) to examine access to heterogeneous-quality resources and exposure to heterogeneous-severity nuisances in a geo…
Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights
Yu Tian, Mason A. Porter, Lucas Böttcher
A fundamental concept in linear algebra and its applications to network analysis is the Perron--Frobenius (PF) theorem, which underpins eigenvector-based centrality measures such a…
A Bounded-Confidence Model of Opinion Dynamics with Adaptive Interaction Probabilities
Leila Thompsky, Yuexuan Yolanda Wu, Mason A. Porter +1
Models of opinion dynamics aim to capture how individuals' opinions change when they interact with each other. One well-known model of opinion dynamics is the Deffuant--Weisbuch (D…
Graph energy as a measure of community detectability in networks
Lucas Böttcher, Mason A. Porter, Santo Fortunato
A key challenge in network science is the detection of communities, which are sets of nodes in a network that are densely connected internally but sparsely connected to the rest of…