Non self-adjoint laplacians on a directed graph
Spectral Theory
2018-01-15 v1
Abstract
We consider a non self-adjoint Laplacian on a directed graph with non symmetric edge weights. We analyse spectral properties of this Laplacian under a Kirchhoff assumption. Moreover we establish isoperimet-ric inequalities in terms of the numerical range to show the absence of the essential spectrum of the Laplacian on heavy end directed graphs.
Cite
@article{arxiv.1801.04088,
title = {Non self-adjoint laplacians on a directed graph},
author = {Marwa Balti},
journal= {arXiv preprint arXiv:1801.04088},
year = {2018}
}