论文标题

双变量$ p $ - 多项式协会计划

Bivariate $P$-polynomial association schemes

论文作者

Bernard, P. -A., Crampe, N., d'Andecy, L. Poulain, Vinet, L., Zaimi, M.

论文摘要

$ $(α,β)$的双变量p-多项式关联方案定义为p多项式关联方案的概括。该概括被证明等于相交参数上的一组条件。许多已知的高级关联方案被认为属于这个广泛的阶级。类似地定义了双变量Q-聚合关联方案。

Bivariate P-polynomial association scheme of type $(α,β)$ are defined as a generalization of the P-polynomial association schemes. This generalization is shown to be equivalent to a set of conditions on the intersection parameters. A number of known higher rank association schemes are seen to belong to this broad class. Bivariate Q-polynomial association schemes are similarly defined.

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