Two new infinite families of arc-transitive antipodal distance-regular graphs of diameter three with \(\lambda =\mu \) related to groups \(\mathrm{Sz}(q)\) and \(^2G_2(q)\)
From MaRDI portal
Publication:2354055
DOI10.1007/s10801-014-0566-xzbMath1333.05320OpenAlexW2467477589MaRDI QIDQ2354055
Publication date: 10 July 2015
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10801-014-0566-x
distance-regular graphautomorphism grouparc-transitive graphantipodal graph\(r\)-fold covering graph
Association schemes, strongly regular graphs (05E30) Distance in graphs (05C12) Group actions on combinatorial structures (05E18)
Related Items (7)
Edge-symmetric distance-regular coverings of complete graphs: the almost simple case ⋮ Arc-transitive antipodal distance-regular covers of complete graphs related to \(\mathrm{SU}_3(q)\) ⋮ On bounding the diameter of a distance-regular graph ⋮ Covers of complete graphs and related association schemes ⋮ ON A CLASS OF EDGE-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS ⋮ On the local structure of Mathon distance-regular graphs ⋮ On the automorphism group of an antipodal tight graph of diameter 4 with parameters \((5, 7, r)\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Distance-regular graphs
- Arc-transitive distance-regular covers of cliques with \(\lambda = \mu\)
- Structure of Ree groups
- Distance regular covers of the complete graph
- Antipodal distance transitive covers of complete graphs
- Finite groups of even order in which Sylow 2-groups are independent
- A new construction of antipodal distance regular covers of complete graphs through the use of Godsil-Hensel matrices
- On Ree's Series of Simple Groups
- On a class of doubly transitive groups
This page was built for publication: Two new infinite families of arc-transitive antipodal distance-regular graphs of diameter three with \(\lambda =\mu \) related to groups \(\mathrm{Sz}(q)\) and \(^2G_2(q)\)
