Graphs, spectral triples and Dirac zeta functions
Abstract
Description
To a finite, connected, unoriented graph of Betti-number g>=2 and valencies >=3 we associate a finitely summable, commutative spectral triple (in the sense of Connes), whose induced zeta functions encode the graph. This gives another example where non-commutative geometry provides a rigid framework for classification.
13 pages, 4 figures
13 pages, 4 figures