Change search
ReferencesLink to record
Permanent link

Direct link
On the Spectral Gap for Laplacians on Metric Graphs
Stockholm University, Faculty of Science, Department of Mathematics.
2013 (English)In: Acta Physica Polonica. A, ISSN 0587-4246, E-ISSN 1898-794X, Vol. 124, no 6, 1060-1062 p.Article in journal (Refereed) Published
Abstract [en]

We discuss lower and upper estimates for the spectral gap of the Laplace operator on a finite compact connected metric graph. It is shown that the best lower estimate is given by the spectral gap for the interval with the same total length as the original graph. An explicit upper estimate is given by generalizing Cheeger's approach developed originally for Riemannian manifolds.

Place, publisher, year, edition, pages
2013. Vol. 124, no 6, 1060-1062 p.
National Category
URN: urn:nbn:se:su:diva-107211ISI: 000339823100032OAI: diva2:743887


Available from: 2014-09-05 Created: 2014-09-05 Last updated: 2014-09-05Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Kurasov, Pavel
By organisation
Department of Mathematics
In the same journal
Acta Physica Polonica. A

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 46 hits
ReferencesLink to record
Permanent link

Direct link