Laplacian spectra of power graphs of certain prime-power Abelian groups

DOI10.1142/S1793557122500267zbMath1485.05076OpenAlexW3131238070MaRDI QIDQ5064370

Shubh N. Singh

Publication date: 15 March 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122500267

zbMATH Keywords

Laplacian spectrumfinite grouppower graph

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite abelian groups (20K01) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Cites Work

• Edge-maximality of power graphs of finite cyclic groups
• The power graph of a finite group
• On the Laplacian spread of graphs
• Directed graphs and combinatorial properties of semigroups
• Spectral radius of power graphs on certain finite groups
• A combinatorial characterization of finite groups of prime exponent
• Laplacian spectra of power graphs of certain finite groups
• Undirected power graphs of semigroups
• On sum of powers of the Laplacian eigenvalues of power graphs of certain finite groups
• The number of trees in a graph. I. II
• The Spectra of power graphs of certain finite groups
• The power graph of a finite group, II
• On connectedness of power graphs of finite groups
• On the minimum degree, edge-connectivity and connectivity of power graphs of finite groups
• On Laplacian spectrum of power graphs of finite cyclic and dihedral groups
• Spectrum and L-spectrum of the power graph and its main supergraph for certain finite groups
• Power graphs: A survey
• Graphs and matrices
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