论文标题
关于在有限场上的循环组合方案的可分离性
On the separability of cyclotomic schemes over finite field
论文作者
论文摘要
事实证明，在有限的例外情况下，有限场上的每个环形方案都通过二维交叉数的张量确定为同构；对于无限的许多方案，该结果无法改善。结果，佩利图或锦标赛的Weisfeiler-Lean尺寸最多是3个小图。
It is proved that with finitely many possible exceptions, each cyclotomic scheme over finite field is determined up to isomorphism by the tensor of 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 with possible exception of several small graphs.
