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- W1981575931 abstract "Every 1-transitive finite or infinite graph is clearly both vertex-transitive and edge-transitive. The converse being false, this paper considers various sufficient conditions for a vertex-transitive, edge-transitive graph to be 1-transitive. Following a survey of known results, a new sufficient condition is presented for infinite, 3-connected, planar graphs, and a conjecture is proposed for infinite planar graphs of connectivity 2. Finally, a new infinite family of infinite graphs is constructed that are vertex-transitive and edge-transitive but not 1-transitive." @default.
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- W1981575931 date "1992-11-01" @default.
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- W1981575931 title "Some conditions for 1-transitivity" @default.
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- W1981575931 doi "https://doi.org/10.1016/0012-365x(92)90299-u" @default.
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