DOIAbstract
We establish an upper bound on the spectral gap for compact quantum graphs which depends only on the diameter and total number of vertices. This bound is asymptotically sharp for pumpkin chains with number of edges tending to infinity
We establish an upper bound on the spectral gap for compact quantum graphs which depends only on the diameter and total number of vertices. This bound is asymptotically sharp for pumpkin chains with number of edges tending to infinity
Presented at the QMath13 Conference: Mathematical Results in Quantum Theory, October 8-11, 2016 at t...
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 establish an upper bound on the spectral gap for compact quantum graphs which depends only on the...
We consider the problem of finding universal bounds of “isoperimetric” or “isodiametric” type on the...
The spectral gap for Laplace operators on metric graphs is investigated in relation to graph’s conne...
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 determine a lower bound for the spectral radius of a graph in terms of the number of vertices and...
We investigate quantum graphs with infinitely many vertices and edges without the common restriction...
We determine a lower bound for the spectral radius of a graph in terms of the number of vertices and...
We investigate the bottom of the spectra of infinite quantum graphs, i.e., Laplace operators on metr...
AbstractWe determine a lower bound for the spectral radius of a graph in terms of the number of vert...
We review our joint work with Evans Harrell on semiclassical and universal inequalities for quantum ...
We review our joint work with Evans Harrell on semiclassical and universal inequalities for quantum ...
Presented at the QMath13 Conference: Mathematical Results in Quantum Theory, October 8-11, 2016 at t...
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 establish an upper bound on the spectral gap for compact quantum graphs which depends only on the...
We consider the problem of finding universal bounds of “isoperimetric” or “isodiametric” type on the...
The spectral gap for Laplace operators on metric graphs is investigated in relation to graph’s conne...
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 determine a lower bound for the spectral radius of a graph in terms of the number of vertices and...
We investigate quantum graphs with infinitely many vertices and edges without the common restriction...
We determine a lower bound for the spectral radius of a graph in terms of the number of vertices and...
We investigate the bottom of the spectra of infinite quantum graphs, i.e., Laplace operators on metr...
AbstractWe determine a lower bound for the spectral radius of a graph in terms of the number of vert...
We review our joint work with Evans Harrell on semiclassical and universal inequalities for quantum ...
We review our joint work with Evans Harrell on semiclassical and universal inequalities for quantum ...
Presented at the QMath13 Conference: Mathematical Results in Quantum Theory, October 8-11, 2016 at t...
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 ...
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