On Invariant eigenvalues of Laplacian on complex star metric graphs

Yudi Soeharyadi; Janny Lindiarni; Pilipus Neri Agustima; Mohammad Januar Ismail Burhan

doi:10.62918/hjma.v1i2.13

Authors

Yudi Soeharyadi Bandung Institute of Technology
Janny Lindiarni Bandung Institute of Technology
Pilipus Neri Agustima Sekolah Terpadu Pahoa, Jakarta
Mohammad Januar Ismail Burhan Department of Mathematics and Information Technology, Kalimantan Institute of Technology

DOI:

https://doi.org/10.62918/hjma.v1i2.13

Keywords:

Eigenvalues of Laplacian, star metric graphs, complex star metric graphs, Neumann-Kirchhoff vertex condition, star metric multigraph

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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