Talk:Perkel graph

Symmetric

It seems to me that

• If it is distance-regular, it must be edge-transitive.
• If it the skeleton of a regular polytope, it must be vertex-transitive.
• If it is edge-transitive and vertex-transitive, it must be symmetric.

Does this qualify as "original research", or can I add "symmetric" to its infobox? Maproom (talk) 17:36, 22 August 2015 (UTC)