11 citations · 19 across the 9 of their papers we have counts for
10 papers
Trivariate - and -polynomial structures for interior shells of the Grassmann scheme
Yan Zhu
Association schemes induced on the shells of the Grassmann scheme form an important family in the study of multivariate - and -polynomial structures. For ,…
-polynomial coherent configurations
Eiichi Bannai, Sho Suda, Yan Zhu
Suda introduced the notion of a -polynomial coherent configuration, which provides a natural and important concept. Subsequently, Lato introduced a notion of a -polynomial co…
Bivariate -polynomial structures for the nonbinary Johnson scheme and the association scheme obtained from attenuated spaces
Eiichi Bannai, Hirotake Kurihara, Da Zhao +1
The study of -polynomial association schemes (distance-regular graphs) and -polynomial association schemes, and in particular - and -polynomial association schemes, has…
Multivariate P- and/or Q-polynomial association schemes
Eiichi Bannai, Hirotake Kurihara, Da Zhao +1
The classification problem of - and -polynomial association schemes has been one of the central problems in algebraic combinatorics. Generalizing the concept of - and -…
Block designs with admitting flag-transitive automorphism groups
Seyed Hassan Alavi, Mohsen Bayat, Mauro Biliotti +12
In this paper, we present a classification of -designs with admitting flag-transitive automorphism groups. If is a flag-transitive automorphism group of a non-…
Tight relative -designs on two shells in hypercubes, and Hahn and Hermite polynomials
Eiichi Bannai, Etsuko Bannai, Hajime Tanaka +1
Relative -designs in the -dimensional hypercube are equivalent to weighted regular -wise balanced designs, which generalize combinatorial - des…
On the explicit constructions of certain unitary -designs
Eiichi Bannai, Mikio Nakahara, Da Zhao +1
Unitary -designs are `good' finite subsets of the unitary group that approximate the whole unitary group well. Unitary -designs have been applied in randomized…
Half of an antipodal spherical design
Eiichi Bannai, Da Zhao, Lin Zhu +2
We investigate several antipodal spherical designs on whether we can choose half of the points, one from each antipodal pair, such that they are balanced at the origin. In particul…
Relative t-designs in binary Hamming association scheme H(n,2)
Eiichi Bannai, Etsuko Bannai, Yan Zhu
A relative t-design in the binary Hamming association schemes H(n,2) is equivalent to a weighted regular t-wise balanced design, i.e., certain combinatorial t-design which allow di…
More on spherical designs of harmonic index
Yan Zhu, Eiichi Bannai, Etsuko Bannai +2
A finite subset on the unit sphere is called a spherical design of harmonic index , if the following condition is satisfied: $\sum_{\mathbf{…