Discrete hyperbolic geometry

A. Neumaier; J.J. Seidel

doi:10.1007/BF02579296

Discrete hyperbolic geometry

A. Neumaier
, J.J. Seidel

Mathematics and Computer Science

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

29 Citaten (Scopus)

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The aim of the paper is to make geometers and combinatorialists familiar with old and new connections between the geometry of Lorentz space and combinatorics. Among the topics treated are equiangular lines and their relations to spherical 2-distance sets; spherical and hyperbolic root systems and their relation to graphs whose second largest eigenvalue does not exceed one or two, respectively; and work of Niemeier, Vinberg, Conway and Sloane on Euclidean and Lorentzian unimodular lattices.

Originele taal-2	Engels
Pagina's (van-tot)	219-237
Aantal pagina's	19
Tijdschrift	Combinatorica
Volume	3
Nummer van het tijdschrift	2
DOI's	https://doi.org/10.1007/BF02579296
Status	Gepubliceerd - 1983

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10.1007/BF02579296

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title = "Discrete hyperbolic geometry",

abstract = "The aim of the paper is to make geometers and combinatorialists familiar with old and new connections between the geometry of Lorentz space and combinatorics. Among the topics treated are equiangular lines and their relations to spherical 2-distance sets; spherical and hyperbolic root systems and their relation to graphs whose second largest eigenvalue does not exceed one or two, respectively; and work of Niemeier, Vinberg, Conway and Sloane on Euclidean and Lorentzian unimodular lattices.",

author = "A. Neumaier and J.J. Seidel",

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PY - 1983

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AB - The aim of the paper is to make geometers and combinatorialists familiar with old and new connections between the geometry of Lorentz space and combinatorics. Among the topics treated are equiangular lines and their relations to spherical 2-distance sets; spherical and hyperbolic root systems and their relation to graphs whose second largest eigenvalue does not exceed one or two, respectively; and work of Niemeier, Vinberg, Conway and Sloane on Euclidean and Lorentzian unimodular lattices.

U2 - 10.1007/BF02579296

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JO - Combinatorica

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Discrete hyperbolic geometry

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