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math.OC2025
Fast Consensus over Almost Regular Directed Graphs
Susie Lu, Marco Gamarra, Ji Liu
This paper studies an open consensus network design problem: identifying the optimal simple directed graphs, given a fixed number of vertices and arcs, that maximize the second sma…
math.OC2025
A Class of Optimal Directed Graphs for Network Synchronization
Susie Lu, John Urschel, Ji Liu
In a paper by Nishikawa and Motter, a quantity called the normalized spread of the Laplacian eigenvalues is used to measure the synchronizability of certain network dynamics. Throu…
math.OC2024
Fast Consensus Topology Design via Minimizing Laplacian Energy
Susie Lu, Ji Liu
This paper characterizes the graphical properties of an optimal topology with minimal Laplacian energy under the constraint of fixed numbers of vertices and edges, and devises an a…