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A Class of Strongly Regular Graphs Related to Orthogonal Groups
1983Publisher 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
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On a strongly regular relation in hypergroupoids
1993Let \(H\) 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: \(
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Strongly Regular Relations Derived From Fundamental Relation AHA 2023
2023Ameri, Reza, Afshar, Behnam
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Block designs and strongly regular graphs related to the group U(3, 4)
2005We 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
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Applications of Strongly Regular Cayley Graphs to Codebooks
IEEE Access, 2023Qiuyan Wang, Yang Yan
exaly
New properties of strongly regular left almost semi-group
Journal of Discrete Mathematical Sciences and Cryptography, 2022exaly
There is no (95, 40, 12, 20) strongly regular graph
Journal of Combinatorial Designs, 2020Jernej Azarija, Tilen Marc
exaly
Cyclic modules over fundamental rings derived from strongly regular equivalences
Annales Mathematiques Du Quebec, 2016S Mirvakili, Bijan Davvaz
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