Open Access
Schrödinger operators on graphs: Symmetrization and Eulerian cycles
Proceedings Of The American Mathematical SocietyGustav Karreskog +22015Journals
Spectral properties of the Schrödinger operator on a finite compact metric graph with delta-type vertex conditions are discussed. Explicit estimates for the lowest eigenvalue (ground state) are obtained using two different methods: Eulerian cycle and symmetrization techniques.

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