paper

A characterisation of all vertex-transitive finite graphs of connectivity < 5

arXiv:2602.09811

Abstract

We characterise all vertex-transitive finite connected graphs as essentially 5-connected or on a short list of explicit graph-classes. Our proof heavily uses Tutte-type canonical decompositions.

26 pages, 7 figures. We are splitting up arXiv:2504.00760 into two parts; this is the second part