Geodesic
Associations scheme with nonconstant intersection numbers, associated with group $SL_2(q)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 648-672

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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.
Mots-clés : association scheme, group
Keywords: intersection numbers, distance-regular graph. 
@article{SEMR_2019_16_a10,
     author = {I. T. Mukhametyanov},
     title = {Associations scheme with nonconstant intersection numbers, associated with group $SL_2(q)$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {648--672},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a10/}
}
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I. T. Mukhametyanov. Associations scheme with nonconstant intersection numbers, associated with group $SL_2(q)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 648-672. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a10/