Geometric representations of graphs

DOI10.1080/03081089508818379zbMath0832.05079OpenAlexW1970680638MaRDI QIDQ4853925

J. J. Seidel

Publication date: 20 February 1996

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089508818379

zbMATH Keywords

Weyl groupsCoxeter groupseigenvaluesEuclidean spaceadjacency matrixvector spacesigned graphsgeometric representationsroot latticesorthonormal representationmultiplicity invariantBigg's representation of distance regular graphsEuclidean root systems for graphsGodsil's inequalitysets of lines at few anglestwo-distance set of points

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph theory (05C99)

Related Items

On graphs with multiple eigenvalues

Cites Work

• Line graphs, root systems, and elliptic geometry
• Signed graphs, root lattices, and Coxeter groups
• Sur un nouvel invariant des graphes et un critère de planarité. (On a new graph invariant and a planarity criterion)
• Equiangular lines
• Hyperbolic reflection groups
• On the Shannon capacity of a graph
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