Graphs, spectral triples and Dirac zeta functions

نویسنده

  • Jan Willem de Jong
چکیده

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 noncommutative geometry provides a rigid framework for classification.

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تاریخ انتشار 2009