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Agustima, Pilipus Neri
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Chemistry Control & Systems Engineering Engineering Mathematics Physics

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On Invariant eigenvalues of Laplacian on complex star metric graphs Soeharyadi, Yudi; Lindiarni, Janny; Agustima, Pilipus Neri; Burhan, Mohammad Januar Ismail
Hilbert Journal of Mathematical Analysis Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i2.13

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.
Co-Authors Burhan, Moh. Januar Ismail Janny Lindiarni Yudi Soeharyadi