Non self-adjoint laplacians on a directed graph

Marwa Balti

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arXiv · 1801.04088

Non self-adjoint laplacians on a directed graph

Marwa Balti

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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.

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BibTeX RIS

Marwa Balti. 2018-01-12. Non self-adjoint laplacians on a directed graph. https://arxiv.org/abs/1801.04088

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