New strongly regular graphs from orthogonal groups \(O^+(6, 2)\) and \(O^-(6, 2)\)

DOI10.1016/j.disc.2018.06.029zbMath1393.05311arXiv1609.07133OpenAlexW2883463137MaRDI QIDQ1660252

Sanja Rukavina, Andrea Švob, Dean Crnković

Publication date: 15 August 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07133

zbMATH Keywords

distance-regular graphstrongly regular graphorthogonal grouporbit matrix

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Distance in graphs (05C12)

Related Items

Transitive distance-regular graphs from linear groups $L(3,q)$, $q = 2,3,4,5$ ⋮ On the \(\mathrm{PSU}(4,2)\)-invariant vertex-transitive strongly regular \((216, 40, 4, 8)\) graph ⋮ On some distance-regular graphs with many vertices ⋮ Distance-regular graphs and new block designs obtained from the Mathieu groups ⋮ Graphs cospectral with \(\operatorname{NU}(n + 1,q^2)\), \(n \neq 3\) ⋮ Reaction graphs of double Fano planes

Uses Software

• GAP
• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distance-regular graphs
• Self-orthogonal codes from the strongly regular graphs on up to 40 vertices
• On some transitive combinatorial structures constructed from the unitary group \(U(3,3)\)
• Strongly regular graphs with non-trivial automorphisms
• A new strongly regular graph
• A survey of partial difference sets
• Overlarge sets and partial geometries
• The strongly regular (40, 12, 2, 4) graphs
• The strongly regular (45,\,12,\,3,\,3) graphs
• On a Class of Fixed-Point-Free Graphs