Add to ORKGWe provide an introductory review of some topics in spectral theory of Laplacians on metric graphs. We focus on three different aspects: the trace formula, the self-adjointness problem and connections between Laplacians on metric graphs and discrete graph Laplacians.Comment: to appear in Internationale Mathematische Nachrichten; 15 pages, 2 figures
The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It i...
We investigate the equivalence between spectral characteristics of the Laplace operator on a metric ...
Abstract. We consider the problem of finding universal bounds of “isoperimetric ” or “isodiametric ”...
We investigate quantum graphs with infinitely many vertices and edges without the common restriction...
We investigate quantum graphs with infinitely many vertices and edges without the common restriction...
We investigate quantum graphs with infinitely many vertices and edges without the common restriction...
In this paper we establish spectral comparison results for Schr\"odinger operators on a certain clas...
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and st...
The spectral gap for Laplace operators on metric graphs is investigated in relation to graph’s conne...
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and st...
This thesis consists of four papers and deals with the spectral theory of quantum graphs. A quantum ...
This thesis consists of four papers and deals with the spectral theory of quantum graphs. A quantum ...
We investigate the bottom of the spectra of infinite quantum graphs, i.e., Laplace operators on metr...
This thesis consists of four papers and deals with the spectral theory of quantum graphs. A quantum ...
We consider the problem of finding universal bounds of “isoperimetric” or “isodiametric” type on the...
The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It i...
We investigate the equivalence between spectral characteristics of the Laplace operator on a metric ...
Abstract. We consider the problem of finding universal bounds of “isoperimetric ” or “isodiametric ”...
We investigate quantum graphs with infinitely many vertices and edges without the common restriction...
We investigate quantum graphs with infinitely many vertices and edges without the common restriction...
We investigate quantum graphs with infinitely many vertices and edges without the common restriction...
In this paper we establish spectral comparison results for Schr\"odinger operators on a certain clas...
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and st...
The spectral gap for Laplace operators on metric graphs is investigated in relation to graph’s conne...
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and st...
This thesis consists of four papers and deals with the spectral theory of quantum graphs. A quantum ...
This thesis consists of four papers and deals with the spectral theory of quantum graphs. A quantum ...
We investigate the bottom of the spectra of infinite quantum graphs, i.e., Laplace operators on metr...
This thesis consists of four papers and deals with the spectral theory of quantum graphs. A quantum ...
We consider the problem of finding universal bounds of “isoperimetric” or “isodiametric” type on the...
The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It i...
We investigate the equivalence between spectral characteristics of the Laplace operator on a metric ...
Abstract. We consider the problem of finding universal bounds of “isoperimetric ” or “isodiametric ”...