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

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

2007-02-07

arxiv.org/abs/math/0702182v1

Mathematics

Combinatorics

21 pages, 9 figures

Scientific paper

It 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.

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