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This paper considers commuting graphs over the semidihedral group SD8n. We compute their eigenvalues and obtain that these commuting graphs are not hyperenergetic for odd n≥15 or even n≥2. We… Click to show full abstract
This paper considers commuting graphs over the semidihedral group SD8n. We compute their eigenvalues and obtain that these commuting graphs are not hyperenergetic for odd n≥15 or even n≥2. We further compute the Laplacian spectrum, the Laplacian energy and the number of spanning trees of the commuting graphs over SD8n. We also discuss vertex connectivity, planarity, and minimum disconnecting sets of these graphs and prove that these commuting graphs are not Hamiltonian.
Keywords:
commuting graphs;
properties commuting;
semidihedral groups;
graphs semidihedral
Journal Title: Symmetry
Year Published: 2021
Link to full text (if available)
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Journal Title: Symmetry
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!