Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths Academic Article uri icon


  • We study the dependence of the quantum graph Hamiltonian, its resolvent, and its spectrum on the vertex conditions and graph edge lengths. In particular, several results on the interlacing (bracketing) of the spectra of graphs with different vertex conditions are obtained and their applications are discussed.

published proceedings


author list (cited authors)

  • Berkolaiko, G., & Kuchment, P.

complete list of authors

  • Berkolaiko, G||Kuchment, P

publication date

  • August 2012