Discrete hyperbolic geometry

DOI10.1007/BF02579296zbMath0523.51016OpenAlexW2139948478MaRDI QIDQ1056380

J. J. Seidel, Arnold Neumaier

Publication date: 1983

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02579296

zbMATH Keywords

eigenvalueLorentz spacegraphsreflectionsconvex polyhedradiscrete groupsvectorsBolyai- Lobachevskij spaceintegral unimodular Euclidean lattices

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Hyperbolic and elliptic geometries (general) and generalizations (51M10) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items

Some graph mappings that preserve the sign of λ2 - r, Some relations between roots, holes, and pillars, Johan Jacob Seidel, On graphs with exactly one eigenvalue less than -1, Right-angled Coxeter polytopes, hyperbolic six-manifolds, and a problem of Siegel, Spectral characterization of the complete graph removing a cycle, Graphs with second largest eigenvalue less than 1/2, Reflexive bipartite regular graphs, The unimodular lattices of dimension up to 23 and the Minkowski-Siegel mass constants, Notes on the second largest eigenvalue of a graph, Decomposition of Smith graphs in maximal reflexive cacti, On bicyclic reflexive graphs, On the distribution of eigenvalues of graphs, Multicyclic treelike reflexive graphs, Maximal reflexive cacti with four cycles: The approach via Smith graphs, The smallest hyperbolic 6-manifolds, Weyl groups, lattices and geometric manifolds., Developments in the theory of graph spectra, Reflexive line graphs of trees and Salem numbers, On graphs whose second largest eigenvalue does not exceed \((\sqrt {5}-1)/2\), Reflexive line graphs of trees

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