On inverse topology problem for Laplace operators on graphs
Keyword(s):
Laplacian operators on finite compact metric graphs are considered under the assumption that matching conditions at graph vertices are of $\delta$ type. Under one additional assumption, the inverse topology problem is treated. Using the apparatus of boundary triples, we generalize and extend existing results on necessary conditions of isospectrality of two Laplacians defined on different graphs. A result is also given covering the case of Schrodinger operators.
2016 ◽
Vol 96
(12)
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pp. 2149-2161
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2018 ◽
Vol 51
(36)
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pp. 365301
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2007 ◽
Vol 253
(2)
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pp. 515-533
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2012 ◽
Vol 14
◽
pp. 357-366
2012 ◽
Vol 45
(12)
◽
pp. 125206
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Keyword(s):