A characterization of Grassmann graphs

DOI10.1016/0195-6698(95)90045-4zbMath0836.05066OpenAlexW2038304801MaRDI QIDQ1902970

Klaus Metsch

Publication date: 22 April 1996

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0195-6698(95)90045-4

zbMATH Keywords

distance-regular graphscharacterizationGrassmann graphintersection arrays

Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75)

Related Items (14)

Thin distance-regular graphs with classical parameters \((D, q, q, \frac{q^t-1}{q-1}-1)\) with \(t> D\) are the Grassmann graphs ⋮ Godsil-McKay switching and twisted Grassmann graphs ⋮ Base subsets of Grassmannians: infinite dimensional case ⋮ Restrictions on classical distance-regular graphs ⋮ On the automorphism groups of rank-4 primitive coherent configurations ⋮ A characterization of Johnson and Hamming graphs and proof of Babai's conjecture ⋮ The distant graph of the projective line over a finite ring with unity ⋮ Spectral characterization of the Hamming graphs ⋮ On some recent progress in the classification of (\(P\) and \(Q\))-polynomial association schemes ⋮ On the spectral gap and the automorphism group of distance-regular graphs ⋮ Recent progress on graphs with fixed smallest adjacency eigenvalue: a survey ⋮ Permutation group approach to association schemes ⋮ On bijections that preserve complementarity of subspaces ⋮ A new family of distance-regular graphs with unbounded diameter

Cites Work

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• A characterization of some geometries of Lie type
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• Grassmann spaces
• Improvement of Bruck's completion theorem
• The dual of Pasch's axiom
• Characterization of projective graphs
• Characterization of projective incidence structures
• A remark on Grassmann spaces and half-spin geometries
• \(m\)-systems of polar spaces
• Some Geometries Associated with Parabolic Representations of Groups of Lie Type
• On a Characterization of Grassmann Space Representing the h-Dimensional Subspaces in a Projective Space

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