164 citations · 793 across the 44 of their papers we have counts for
7 papers · 1 filter
Clustering-induced localization of quantum walks on networks
Lucas Böttcher, Mason A. Porter
Quantum walks on networks are a paradigmatic model in quantum information theory. Quantum-walk algorithms have been developed for various applications, including spatial-search pro…
Structural Robustness and Vulnerability of Networks
Alice C. Schwarze, Jessica Jiang, Jonny Wray +1
Networks are useful descriptions of the structure of many complex systems. Unsurprisingly, it is thus important to analyze the robustness of networks in many scientific disciplines…
Ginzburg--Landau Functionals in the Large-Graph Limit
Edith Zhang, James Scott, Qiang Du +1
Ginzburg--Landau (GL) functionals on graphs, which are relaxations of graph-cut functionals on graphs, have yielded a variety of insights in image segmentation and graph clustering…
Competition between group interactions and nonlinearity in voter dynamics on hypergraphs
Jihye Kim, Deok-Sun Lee, Byungjoon Min +3
Social dynamics are often driven by both pairwise (i.e., dyadic) relationships and higher-order (i.e., polyadic) group relationships, which one can describe using hypergraphs. To g…
A Network-Based Measure of Cosponsorship Influence on Bill Passing in the United States House of Representatives
Sarah Sotoudeh, Mason A. Porter, Sanjukta Krishnagopal
Each year, the United States Congress considers thousands of legislative proposals to select bills to present to the US President to sign into law. Naturally, the decision processe…
Dynamical importance and network perturbations
Ethan Young, Mason A. Porter
The leading eigenvalue of the adjacency matrix of a graph exerts much influence on the behavior of dynamical processes on that graph. It is thus relevant to relate notions of t…