Bounds on the Negative Eigenvalues of Laplacians on Finite Metric Graphs
نویسندگان
چکیده
منابع مشابه
Laplacians on Metric Graphs: Eigenvalues, Resolvents and Semigroups
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 semigroups. We prove an upper bound on the number of negative eigenvalues and a lower bound on the spectrum of Laplace operators. Also we provide a sufficient condition for the associated heat semigroup to be positivity pre...
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*Correspondence: [email protected] 1School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian, P.R. China 2Center for Discrete Mathematics, Fuzhou University, Fuzhou, Fujian, P.R. China Full list of author information is available at the end of the article Abstract Let G be a simple connected graph of order n, where n≥ 2. Its normalized Laplacian eigenvalues are 0 = λ1 ...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2013
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-013-2064-2