128 citations · 144 across the 4 of their papers we have counts for
3 papers · 1 filter
A New Notion of Effective Resistance for Directed Graphs-Part II: Computing Resistances
George Forrest Young, Luca Scardovi, Naomi Ehrich Leonard
In Part I of this work we defined a generalization of the concept of effective resistance to directed graphs, and we explored some of the properties of this new definition. Here, w…
A New Notion of Effective Resistance for Directed Graphs-Part I: Definition and Properties
George Forrest Young, Luca Scardovi, Naomi Ehrich Leonard
The graphical notion of effective resistance has found wide-ranging applications in many areas of pure mathematics, applied mathematics and control theory. By the nature of its con…
Rearranging trees for robust consensus
George Forrest Young, Luca Scardovi, Naomi Ehrich Leonard
In this paper, we use the H2 norm associated with a communication graph to characterize the robustness of consensus to noise. In particular, we restrict our attention to trees and…