Catalogue of the Star graph eigenvalue multiplicities

DOI10.1007/s40065-019-00271-zzbMath1462.05230OpenAlexW2990716729WikidataQ126782913 ScholiaQ126782913MaRDI QIDQ2023768

Elena V. Konstantinova, Ekaterina Khomyakova

Publication date: 3 May 2021

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-019-00271-z

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Deterministic network models in operations research (90B10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Spectrum of Cayley graphs on the symmetric group generated by transpositions
• The distance spectra of Cayley graphs of Coxeter groups
• Spectra of graphs
• Graphs with integral spectrum
• Symmetric polynomials and the center of the symmetric group ring
• Which Cayley graphs are integral?
• Multiplicities of eigenvalues of the star graph
• Note on exact values of multiplicities of eigenvalues of the Star graph
• On the eigenvalues multiplicity function of the star graph
• A group-theoretic model for symmetric interconnection networks
• The Hook Graphs of the Symmetric Group
• On Cayley graphs on the symmetric group generated by transpositions

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