论文标题

分开等级3图

Separating rank 3 graphs

论文作者

Bamberg, John, Giudici, Michael, Lansdown, Jesse, Royle, Gordon F.

论文摘要

我们对一些臭名昭著的案例进行了分类,排名3的图表未能符合Delsarte或Hoffman Bound。结果,我们解决了相应等级的3个原始组的分离问题,并提供了同步的新示例,但不提供$ \ mathbb {q} \ mathrm {i} $,offine类型的组。

We classify, up to some notoriously hard cases, the rank 3 graphs which fail to meet either the Delsarte or the Hoffman bound. As a consequence, we resolve the question of separation for the corresponding rank 3 primitive groups and give new examples of synchronising, but not $\mathbb{Q}\mathrm{I}$, groups of affine type.

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