Folded crossed cube with five or more dimensions is not vertex-transitive
Kung-Jui Pai, Jou–Ming Chang, Jinn‐Shyong Yang · 2015
Kulasinghe and Bettayeb [Inform. Process. Lett. 53 (1995) 33-36] proved that the crossed cube CQn(a synonym called multiply twisted hypercube in that paper) fails to be vertex-transitive for n ≥ 5. In this paper, we study vertex-transitivity on folded crossed cubes FCQnand show that FCQnis vertex-transitive if and only if n ϵ {1, 2, 4}.