Hirotake Kurihara

activity

20102026

most citedMultivariate P- and/or Q-polynomial association schemes

3 citations · 8 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.CO2026

Multivariate $P$ - and $Q$ -polynomial structures of generalized Johnson association schemes

Hirotake Kurihara

Let $X$ be a commutative association scheme of class $d$ on $X$ . We construct the generalized Johnson association scheme $J_{n, h} (X)$ on partial maps…

math.CO2026

Twisted primitive group association schemes

Akihiro Higashitani, Masanari Kamiya, Hirotake Kurihara

We give results on the question of whether the intersection numbers of a primitive group association scheme determine it up to combinatorial isomorphism. For $G=\operatorname{PSL}(…

math.CO2026

Imprimitive association schemes and elimination theory

Akihiro Higashitani, Hirotake Kurihara

We prove that a commutative association scheme is imprimitive if and only if it admits a multivariate $P$ - or $Q$ -polynomial structure with respect to an elimination-type monomial…

Multivariate P- and Q-polynomial structures of generalized Johnson association schemes

Twisted primitive group association schemes

Imprimitive association schemes and elimination theory

Multivariate $P$ - and $Q$ -polynomial structures of generalized Johnson association schemes