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A Class of Strongly Regular Graphs Related to Orthogonal Groups

1983
Publisher Summary This chapter describes a class of regular graphs related to PO 2n+l (q). If q is odd, the vertices of the graphs may be seen as a set of points off a quadric in PG(2n,q). It has been noticed that regular graphs of the same kind occur in symplectic spaces over GF(2 r ). The chapter presents a unified description of those graphs for a
Hubaut, Xavier, Metz, Rudolf
openaire   +1 more source

On a strongly regular relation in hypergroupoids

1993
Let \(H\) be a hypergroupoid and \(n \in \mathbb{N}^*\). Let \(\gamma\) be a grouping of the indices \(\{1,\dots,n\}\) respecting their order. If \(z_ 1,z_ 2,\dots,z_ n\) are elements of \(H\) we denote by \(\displaystyle\prod^ n_{i=1}{^{(\gamma)} z_ i}\) the product of these elements according to \(\gamma\). Define on \(H\) a relation \(\Delta\) by: \(
openaire   +2 more sources

Block designs and strongly regular graphs related to the group U(3, 4)

2005
We show a construction of a two block designs, 2-(65, 15, 21) design and 2-(65, 26, 250) design, Steiner system S(2, 5, 65) and its block graph, two strongly regular graphs (208, 75, 30, 25) and (416, 100, 36, 20) and binary code of length 65 from the unitary group U(3, 4). Those incidence structures are defined on the elements of the conjugacy classes
Rukavina, Sanja   +2 more
openaire  

Applications of Strongly Regular Cayley Graphs to Codebooks

IEEE Access, 2023
Qiuyan Wang, Yang Yan
exaly  

New properties of strongly regular left almost semi-group

Journal of Discrete Mathematical Sciences and Cryptography, 2022
exaly  

There is no (95, 40, 12, 20) strongly regular graph

Journal of Combinatorial Designs, 2020
Jernej Azarija, Tilen Marc
exaly  

Cyclic modules over fundamental rings derived from strongly regular equivalences

Annales Mathematiques Du Quebec, 2016
S Mirvakili, Bijan Davvaz
exaly  

On quasi-strongly regular graphs

Linear and Multilinear Algebra, 2006
Felix Goldberg
exaly  

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