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DOAJ Open Access 2025

A novel algebraic technique for adjacency matrices of some derived graphs

Hacer Ozden Ayna Aysun Yurttas Gunes Sadik Delen Medha Itagi Huilgol Berke Ozmen +1 lainnya
Lihat Sumber DOI

Abstrak

Graph energy has been the main concern of spectral graph theory in the last five decades. The classical graph energy is the sum of the absolute values of the eigenvalues of the adjacency matrix. In many research papers, different versions of graph energy by utilizing different graph matrices are introduced. For many graph types corresponding to molecular structures, the energy is determined. The theory is complete for complete bipartite graphs. For derived graphs, the problem was settled partially for line, total, double and subdivision graphs. In this paper, the more complex cases of power graphs, shadow, image and core graphs are discussed, and the adjacency matrices of these derived graph classes are formed in terms of very simple submatrices.

Topik & Kata Kunci

Mathematics Applied mathematics. Quantitative methods

Penulis (6)

H

Hacer Ozden Ayna

A

Aysun Yurttas Gunes

S

Sadik Delen

M

Medha Itagi Huilgol

B

Berke Ozmen

I

Ismail Naci Cangul

Format Sitasi

APA MLA BibTeX
Ayna, H.O., Gunes, A.Y., Delen, S., Huilgol, M.I., Ozmen, B., Cangul, I.N. (2025). A novel algebraic technique for adjacency matrices of some derived graphs. https://doi.org/10.1080/13873954.2025.2535726

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Informasi Jurnal
Tahun Terbit
2025
Sumber Database
DOAJ
DOI
10.1080/13873954.2025.2535726
Akses
Open Access ✓