On edge-transitive graphs of square-free order
The electronic journal of combinatorics, Tome 22 (2015) no. 3
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We study the class of edge-transitive graphs of square-free order and valency at most $k$. It is shown that, except for a few special families of graphs, only finitely many members in this class are basic (namely, not a normal multicover of another member). Using this result, we determine the automorphism groups of locally primitive arc-transitive graphs with square-free order.
DOI : 10.37236/4573
Classification : 05C25, 20B25
Mots-clés : edge-transitive graph, arc-transitive graph, stabilizer, quasiprimitive permutation group, almost simple group
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     author = {Cai Heng Li and Zai Ping Lu and Gai Xia Wang},
     title = {On edge-transitive graphs of square-free order},
     journal = {The electronic journal of combinatorics},
     year = {2015},
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     number = {3},
     doi = {10.37236/4573},
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Cai Heng Li; Zai Ping Lu; Gai Xia Wang. On edge-transitive graphs of square-free order. The electronic journal of combinatorics, Tome 22 (2015) no. 3. doi: 10.37236/4573

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