Hilbert Journal of Mathematical Analysis
Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.

On Invariant eigenvalues of Laplacian on complex star metric graphs

Soeharyadi, Yudi (Unknown)
Lindiarni, Janny (Unknown)
Agustima, Pilipus Neri (Unknown)
Burhan, Mohammad Januar Ismail (Unknown)

Article Info

Publish Date
11 Aug 2023

Abstract

In this article eigenvalues of Laplacian acting on complex star metric graphs is considered. The operator is coupled with Neumann-Kirchhoff vertex condition, implying self adjointness of the operator. We exhibit the invariance of the eigenvalues over the number of the bonds of the star metric graphs. Moreover, the eigenvalues are also invariant over parallel bonds of the star metric multigraphs.

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Journal Info
Hilbert Journal of Mathematical Analysis
Website

Abbrev

hilbertjma

Publisher

Komunitas Analisis Matematika Indonesia

Subject

Chemistry Control & Systems Engineering Engineering Mathematics Physics

Description

Hilbert Journal of Mathematical Analysis (Hilbert J. Math. Anal.) is a peer-reviewed, open-access international journal publishing original and high-quality research papers that treat mathematical analysis, geometry, topology, and all closely related topics. It is published by Komunitas Analisis ...