9 papers
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…
Bounded-confidence opinion models with random-time interactions
Weiqi Chu, Mason A Porter
In models of opinion dynamics, agents interact with each other and can change their opinions as a result of those interactions. One type of opinion model is a bounded-confidence mo…
Long-Time and Short-Time Dynamics in a Weighted-Median Opinion Model on Networks
Lasse Mohr, Poul G. Hjorth, Mason A. Porter
Social interactions influence people's opinions. In some situations, these interactions eventually yield a consensus opinion; in others, they can lead to opinion fragmentation and…
Bounded-Confidence Models of Opinion Dynamics with Neighborhood Effects
Sanjukta Krishnagopal, Mason A. Porter
We generalize bounded-confidence models (BCMs) of opinion dynamics by incorporating neighborhood effects. In a BCM, interacting agents influence each other through dyadic influence…