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Vyacheslav Pyvovarchyk: Non-existence of co-spectral simple connected graphs with small number of edges

Time: Wed 2024-10-16 11.00 - 12.00

Location: Albano, house 1, floor 3, Cramérrummet

Participating: Vyacheslav Pyvovarchyk (SUNPU, Odesa and University of Vaasa)

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Abstract:

We consider the Sturm-Liouville spectral problems on simple connected equilateral graphs. We prove that if the number of edges does not exceed 7 then the spectrum of the Dirichlet problem uniquely determines the shape of the graph.