Wiener-Hosoya Energy of Non-Commuting Graph for Dihedral Groups

article cite 3 Year 2024
source: Asia Pacific Journal of Mathematics
Abstract

. 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.


Concepts :
Quantum Mechanics and Applications
Algebraic and Geometric Analysis
advanced mathematical theories
article cite 3 Year 2024 source Asia Pacific Journal of Mathematics
SDGs
Affordable and clean energy
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2024 3