The aim of the present paper is to introduce a unified notion of Laplacians on discrete and metric graphs. In order to cover all self-adjoint vertex conditions for the associated metric graph Laplacian, we develop systematically a new type of discrete graph operators acting on a decorated graph. The decoration at each vertex of degree d is given by a… (More)

@inproceedings{POST2009FirstOA,
title={First Order Approach and Index Theorems for Discrete and Metric Graphs},
author={OLAF POST},
year={2009}
}