On the \(\mathrm{PSU}(4,2)\)-invariant vertex-transitive strongly regular \((216, 40, 4, 8)\) graph

DOI10.1007/s00373-020-02132-5zbMath1444.05154arXiv1907.12773OpenAlexW2999958718MaRDI QIDQ2175785

Dean Crnković, Francesco Pavese, Andrea Švob

Publication date: 30 April 2020

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12773

zbMATH Keywords

strongly regular graphHermitian surfaceprojective geometrygeneralized quadrangle

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Association schemes, strongly regular graphs (05E30) Generalized quadrangles and generalized polygons in finite geometry (51E12) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Combinatorial structures in finite projective spaces (51E20) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Cites Work

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• New strongly regular graphs from orthogonal groups \(O^+(6, 2)\) and \(O^-(6, 2)\)
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

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