Supersymmetry on Graphs and Networks

Details Supersymmetry on Graphs and Networks Supersymmetry on Graphs and Networks

2004-10-28

arxiv.org/abs/math-ph/0410059v2

Int.J.Geom.Meth.Mod.Phys.2:585-596,2005

Physics

Mathematical Physics

11 pages, Latex, no figures, remark 4.1 added, slight alterations in lemma 5.3, a more detailed discussion at beginning of sec

Scientific paper

10.1142/S0219887805000764

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.

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