Regular and Vertex-Transitive Kähler Graphs Having Commutative Principal and Auxiliary Adjacency Operators

A Kähler graph is a compound of two graphs having a common set of vertices and is a discrete model of a Riemannian manifold equipped with magnetic fields. In this paper we study selfadjointness of adjacency operators of Kähler graphs and express their zeta functions in terms of eigenvalues of their...

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Veröffentlicht in:	Graphs and combinatorics 2020-07, Vol.36 (4), p.933-958
Hauptverfasser:	Adachi, Toshiaki, Chen, Guanyuan
Format:	Artikel
Sprache:	eng
Schlagworte:	Apexes Combinatorics Commutativity Eigenvalues Engineering Design Graphs Mathematics Mathematics and Statistics Operators (mathematics) Original Paper Riemann manifold
Online-Zugang:	Volltext
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