Hamilton Paths and Cycles in Vertex-Transitive Graphs of Order $6p$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123498It is shown that every connected vertex-transitive graph of order $6p$, where $p$ is a prime, contains a Hamilton path. Moreover, it is shown that, except for the truncation of the Petersen graph, every connected vertex-transitive graph of order $6p$ which is not genuinely imprimitive contains a Hamilton cycle.21 pages, 9 figuresCombinatoricsGroup Theory05C45, 20BxxHamilton Paths and Cycles in Vertex-Transitive Graphs of Order $6p$text