3 papers
math.SP2026
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…
cs.SI2026
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…
econ.TH2024
A knapsack for collective decision-making
Yurun Ge, Lucas Böttcher, Tom Chou +1
Collective decision-making is the process through which diverse stakeholders reach a joint decision. Within societal settings, one example is participatory budgeting, where constit…