On The Length Spectra of Simple Regular Periodic Graphs

zbMath1459.05161arXiv1711.07706MaRDI QIDQ5131014

Chandrasheel Bhagwat, Ayesha Fatima

Publication date: 31 October 2020

Full work available at URL: https://arxiv.org/abs/1711.07706

zbMATH Keywords

primitive length spectrum

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other Dirichlet series and zeta functions (11M41) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• On a multiplicity one property for the length spectra of even dimensional compact hyperbolic spaces
• Ihara's zeta function for periodic graphs and its approximation in the amenable case
• Zeta functions of Selberg's type associated with homogeneous vector bundles
• Zeta functions of Selberg's type for compact space forms of symmetric spaces of rank one
• The length spectra of some compact manifolds of negative curvature
• Zeta functions of graphs with \(\mathbb Z\) actions
• A refinement of strong multiplicity one for spectra of hyperbolic manifolds
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