E. Bannai

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math.CO2026

$P$ -polynomial coherent configurations

Eiichi Bannai, Sho Suda, Yan Zhu

Suda introduced the notion of a $Q$ -polynomial coherent configuration, which provides a natural and important concept. Subsequently, Lato introduced a notion of a $P$ -polynomial co…

math.CO2025

On the existence and non-existence of spherical $m$ -stiff configurations

Eiichi Bannai, Hirotake Kurihara, Hiroshi Nozaki

This paper investigates the existence of $m$ -stiff configurations in the unit sphere $S^{d - 1}$ , which are spherical $(2 m - 1)$ -designs that lie on $m$ parallel hyperplanes. We establ…

P-polynomial coherent configurations

On the existence and non-existence of spherical m-stiff configurations

$P$ -polynomial coherent configurations

On the existence and non-existence of spherical $m$ -stiff configurations