30 citations · 55 across the 10 of their papers we have counts for
4 papers · 1 filter
Isospectrality for graph Laplacians under the change of coupling at graph vertices: necessary and sufficient conditions
Yulia Ershova, Irina I. Karpenko, Alexander V. Kiselev
Laplace operators on finite compact metric graphs are considered under the assumption that matching conditions at graph vertices are of and types. Assuming rational indepe…
Isospectrality for graph Laplacians under the change of coupling at graph vertices
Yulia Ershova, Irina I. Karpenko, Alexander V. Kiselev
Laplacian operators on finite compact metric graphs are considered under the assumption that matching conditions at graph vertices are of and types. An infinite series of…
Trace formulae for Schrodinger operators on metric graphs with applications to recovering matching conditions
Yulia Ershova, Alexander V. Kiselev
The paper is a continuation of the study started in \cite{Yorzh1}. Schrodinger operators on finite compact metric graphs are considered under the assumption that the matching condi…
Trace formulae for graph Laplacians with applications to recovering matching conditions
Yulia Ershova, Alexander V. Kiselev
Graph Laplacians on finite compact metric graphs are considered under the assumption that the matching conditions at the graph vertices are of either or type. In either ca…