Characteristic functions under series and parallel connection of quantum graphs

Abstract

For a graph consisting of parallel connected subgraphs we express the characteristic function of the boundary value problem with generalized Neumann conditions at both joining points via characteristic functions of different boundary problems on the subgraphs.

References in corpus (1)

• On the spectrum of the Laplace operator of metric graphs attached at a vertex -- Spectral determinant approach

Cited by in corpus (2)

• Green's function approach for quantum graphs: an overview
• Dirac-Krein systems on star graphs