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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 648–672
DOI: https://doi.org/10.33048/semi.2019.16.042
(Mi semr1084)
 

Mathematical logic, algebra and number theory

Associations scheme with nonconstant intersection numbers, associated with group $SL_2(q)$

I. T. Mukhametyanov

Lysva branch of Perm National Research Polytechnic University, 2, Lenina st., Lysva, 618900, Perm kray, Russia
References:
Abstract: Considered one of generalizations of association schemes, with variability of intersection numbers is allowed. Generalization of scheme is considered on set of elements of prime order $p$ of group $SL_2(q)$ where $q$ is a degree of $p$. Intersection numbers of this scheme are calculated and intersection arrays of it's graphs are found.
Keywords: association scheme, intersection numbers, group, distance-regular graph.
Received April 9, 2018, published May 17, 2019
Bibliographic databases:
Document Type: Article
UDC: 512.542,~519.172
MSC: 20D15,~05C25
Language: Russian
Citation: I. T. Mukhametyanov, “Associations scheme with nonconstant intersection numbers, associated with group $SL_2(q)$”, Sib. Èlektron. Mat. Izv., 16 (2019), 648–672
Citation in format AMSBIB
\Bibitem{Muk19}
\by I.~T.~Mukhametyanov
\paper Associations scheme with nonconstant intersection numbers, associated with group $SL_2(q)$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 648--672
\mathnet{http://mi.mathnet.ru/semr1084}
\crossref{https://doi.org/10.33048/semi.2019.16.042}
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