Supersymmetry on Graphs and Networks
Mathematical Physics
2011-07-19 v2 High Energy Physics - Theory
Combinatorics
math.MP
Quantum Physics
Abstract
We show that graphs, networks and other related discrete model systems carry a natural supersymmetric structure, which, apart from its conceptual importance as to possible physical applications, allows to derive a series of spectral properties for a class of graph operators which typically encode relevant graph characteristics.
Cite
@article{arxiv.math-ph/0410059,
title = {Supersymmetry on Graphs and Networks},
author = {Manfred Requardt},
journal= {arXiv preprint arXiv:math-ph/0410059},
year = {2011}
}
Comments
11 pages, Latex, no figures, remark 4.1 added, slight alterations in lemma 5.3, a more detailed discussion at beginning of sect.6 (zero eigenspace)