A geometrical characterization of strongly regular graphs
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Publication:1758461
DOI10.1016/j.laa.2012.05.040zbMath1250.05120OpenAlexW2012577211MaRDI QIDQ1758461
Hiroshi Nozaki, Masashi Shinohara
Publication date: 9 November 2012
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2012.05.040
strongly regular graphdistance geometryspherical \(t\)-designdistance matrix\(s\)-distance setEuclidean representationrepresentable graphEuclidean \(t\)-designEuclidean codes
Related Items (6)
Characterisation of all integral circulant graphs with multiplicative divisor sets and few eigenvalues ⋮ The two-distance sets in dimension four ⋮ Complex spherical codes with three inner products ⋮ On representations of graphs as two-distance sets ⋮ Graphs and spherical two-distance sets ⋮ Finite two-distance tight frames
Cites Work
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- Bounds on three- and higher-distance sets
- Minimal Euclidean representations of graphs
- Multispherical Euclidean distance matrices
- Spherical two-distance sets
- An upper bound for the cardinality of an s-distance subset in real Euclidean space. II
- Coherent algebras
- Fisher type inequalities for Euclidean t-designs
- Strongly regular graphs having strongly regular subconstituents
- Spherical codes and designs
- New maximal two-distance sets
- Chromatic number and the 2-rank of a graph
- Classification of three-distance sets in two dimensional Euclidean space
- Circum-Euclidean distance matrices and faces
- On the strong non-rigidity of certain tight Euclidean designs
- Bounds on sets with few distances
- On Euclidean tight 4-designs
- Block matrices and multispherical structure of distance matrices
- Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
- Extremal properties of spherical semidesigns
- 9-Point and 7-Point Configurations in 3-Space
- Matrix Analysis
- Developments in the theory of graph spectra
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