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Date: 8-5-2022
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Date: 24-2-2022
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Date: 13-5-2022
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An -route of a graph
is a sequence of vertices
of
such that
for
, 1, ...,
(where
is the edge set of
) and
for
, 2, ...,
.
If a graph contains an
-route with
, then
is said to be
-transitive,
-arc-transitive, or arc-transitive of order
if the automorphism group of
acts transitively on all
-routes.
Note that some authors present other letters to , for example
(Harary 1994) and
.
Harary, F. Graph Theory. Reading, MA: Addison-Wesley, p. 200, 1994.
Holton, D. A. and Sheehan, J. The Petersen Graph. Cambridge, England: Cambridge University Press, pp. 202-210, 1993.
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