71 citations · 152 across the 10 of their papers we have counts for
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math-ph2006★ 37 cited
The inverse scattering problem for metric graphs and the traveling salesman problem
Vadim Kostrykin, Robert Schrader
We present a solution to the inverse scattering problem for differential Laplace operators on metric noncompact graphs. We prove that for almost all boundary conditions (i) the sca…
math-ph2006
Laplacians on Metric Graphs: Eigenvalues, Resolvents and Semigroups
Vadim Kostrykin, Robert Schrader
The main objective of the present work is to study the negative spectrum of (differential) Laplace operators on metric graphs as well as their resolvents and associated heat semigr…