On the separability of cyclotomic schemes over finite fields

Autor:	Ilia Ponomarenko
Rok vydání:	2021
Předmět:	Pure mathematics Algebra and Number Theory Association scheme Finite field Paley graph Applied Mathematics MathematicsofComputing_GENERAL Analysis Mathematics
Zdroj:	St. Petersburg Mathematical Journal. 32:1051-1066
ISSN:	1547-7371 1061-0022
Popis:	It is proved that with finitely many possible exceptions, each cyclotomic scheme over a finite field is determined up to isomorphism by the tensor of 2 2 -dimensional intersection numbers; for infinitely many schemes, this result cannot be improved. As a consequence, the Weisfeiler–Leman dimension of a Paley graph or tournament is at most 3 3 with possible exception of several small graphs.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d932ca8cfd66e1431b1664f39af9efdc https://doi.org/10.1090/spmj/1684 Zobrazit plný text záznamu