A Primer on Laplacian Dynamics in Directed Graphs

Authors

J. J. P. Veerman, Portland State UniversityFollow
R. Lyons, Digimarc

Published In

Nonlinear Phenomena in Complex Systems

Document Type

Article

Publication Date

2020

Subjects

Laplacian dynamics, Topology, Lapalcian matrices

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

https://doi.org/10.33581/1561-4085-2020-23-2-196-206

DOI

10.33581/1561-4085-2020-23-2-196-206

Persistent Identifier

https://archives.pdx.edu/ds/psu/34917

Citation Details

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