Minimal eigenvalue of the Coxeter Laplacian for the symmetric group

DOI10.1006/jabr.1994.1195zbMath0812.05028OpenAlexW1990119622MaRDI QIDQ1330041

Roland Bacher

Publication date: 16 August 1994

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1994.1195

zbMATH Keywords

Cayley graphsymmetric groupLaplacian

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

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On the eigenvalues of the Coxeter Laplacian. ⋮ Eigenvalues of Cayley graphs ⋮ Expansion properties of Cayley graphs of the alternating groups ⋮ Reconfiguration graphs of shortest paths ⋮ The probability of long cycles in interchange processes ⋮ Spectral representations of vertex transitive graphs, Archimedean solids and finite Coxeter groups ⋮ Coxeter factorizations with generalized Jucys–Murphy weights and Matrix‐Tree theorems for reflection groups ⋮ Spectrum of Cayley graphs on the symmetric group generated by transpositions ⋮ Shadows and intersections: Stability and new proofs ⋮ Periodic binary harmonic functions on lattices ⋮ The distance spectra of Cayley graphs of Coxeter groups ⋮ On the spectral gap of some Cayley graphs on the Weyl group \(W(B_n)\) ⋮ A Few Remarks on the Octopus Inequality and Aldous’ Spectral Gap Conjecture ⋮ Signal processing on the permutahedron: tight spectral frames for ranked data analysis ⋮ On the Betti numbers of chessboard complexes ⋮ On the energy of transposition graphs ⋮ Resistance distances in Cayley graphs on symmetric groups

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