Wiener-Hosoya energy of non-commuting graph for dihedral groups
Spectral graph theory studies the connection between graph theory and algebra through matrices representation. This research is devoted to the spectrum of the non-commuting graph for the dihedral group. The matrix representation is the Wiener-Hosoya matrix which is a square matrix and the eigenvalue...
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Main Authors: | , , , , |
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Format: | Article |
Published: |
Asia Pacific Academic
2024
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Online Access: | http://psasir.upm.edu.my/id/eprint/106223/ https://apjm.apacific.org/PDFs/11-9.pdf |
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Summary: | Spectral graph theory studies the connection between graph theory and algebra through matrices representation. This research is devoted to the spectrum of the non-commuting graph for the dihedral group. The matrix representation is the Wiener-Hosoya matrix which is a square matrix and the eigenvalues corresponding to the matrix are determined. The result shows that the energy is always similar to twice its spectral radius. |
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