Article
A Primer on Laplacian Dynamics in Directed Graphs
Nonlinear Phenomena in Complex Systems
Document Type
Article
Publication Date
1-1-2020
Subjects
- Laplacian dynamics,
- Topology,
- Lapalcian matrices
Disciplines
Abstract
We analyze the asymptotic behavior of general first order Laplacian processes on digraphs. The most important ones of these are diffusion and consensus with both continuous and discrete time. We treat diffusion and consensus as dual processes. This is the first complete exposition of this material in a single work.
Rights
Copyright (c) 2020 The Authors
This work is licensed under a Creative Commons Attribution 4.0 International License.
Locate the Document
DOI
10.33581/1561-4085-2020-23-2-196-206
Persistent Identifier
https://archives.pdx.edu/ds/psu/34917
Citation Information
Veerman, J. J. P., & Lyons, R. (2020). A primer on Laplacian dynamics in directed graphs. Nonlinear Phenomena in Complex Systems, vol. 23, no. 2 (2020), pp. 196 - 206