Abstract Metacirculants were introduced by Alspach and Parsons in 1982 and have been a rich source of various topics since then. It is known that every metacirculant is a split weak metacirculant (A graph is called (split) weak metacirculant if it has a vertex-transitive (split) metacyclic subgroup of automorphisms). We say that a split metacirculant is a pseudo metacirculant if it is not metacirculant. In this paper, an infinite family of pseudo metacirculants is constructed, and this provides a negative answer to Question A in Zhou and Zhou (2018).

中文翻译：

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假性元循环的构建

摘要 Metacirculants 是由 Alspach 和 Parsons 于 1982 年提出的，从那时起一直是各种主题的丰富来源。众所周知，每个元循环都是分裂的弱元循环（如果图具有自同构的顶点传递（分裂）元循环子群，则称为（分裂）弱元循环）。如果不是元循环，我们说分裂的元循环是伪元循环。在本文中，构建了一个无限的伪元循环家族，这为 Zhou and Zhou (2018) 中的问题 A 提供了否定的答案。