Spektrum dan energi laplace serta signless-laplace graf komutatif dari grup dihedral

  • Maria Syifaus Sa'adah Program Studi Matematika, Universitas Islam Negeri Maulana Malik Ibrahim Malang
Keywords: laplace spectrum;, laplace energy;, signless laplace spectrum;, signless laplace energy;, commutative graph;, dihedral group

Abstract

The dihedral group is a symmetrical group consisting of rotations and reflections that have wide applications in geometry. The commutative graph formed by the dihedral group is a form of representation of the commutative relationship between the elements and the dihedral group. This research will examine the spectral properties and energies of Laplace and Signless Laplace from commutative graphs. The graph spectrum is the set of eigenvalues of the operators associated with the graph, while the energy is the quadratic relationship of the eigenvalues. The result of this research is to understand the structure of the spectrum and energy properties of the commutative graph that appears, so that it can become the basis for the development of new methods in graph analysis and system modeling involving dihedral groups.

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References

Abdussakir, Akhadiyah, D. A., Layali, A., & Putra, A. T. (2017). Spektrum graf subgrup dan komplemen graf subgrup dari grup dihedral. Laporan Penelitian, 18–19. http://repository.uin-malang.ac.id/2188/

Drs. Marsudi, M. . (2016). Teori Graf. Malang: UB Press.

G, S., & Kanna, R. (2017). Bounds on Energy and Laplacian Energy of Graphs. Journal of the Indonesian Mathematical Society, 23(2), 21–31. https://doi.org/10.22342/jims.23.2.316.21-31

Khasanah, R. (n.d.). Spektrum Signless - Laplace dan Spektrum Detour Graf Konjugasi dari Grup Dihedral. III(1), 45–51.

Setyowidi, D. D., Si, L. R. S., Si, M., Studi, P., Jurusan, M., Universitas, M., & Semarang, D. (n.d.). Energi Derajat Maksimal pada Graf Terhubung. 46–55.

Taneo, F. D. & P. N. L. (2019). Teori Graf. Deepublish Publisher.

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Published
2023-09-21
How to Cite
Sa’adah, M. S. (2023). Spektrum dan energi laplace serta signless-laplace graf komutatif dari grup dihedral. Maliki Interdisciplinary Journal, 1(3), 175-202. Retrieved from http://urj.uin-malang.ac.id/index.php/mij/article/view/4461
Issue
Vol 1 No 3 (2023): SEPTEMBER
Section
Articles

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