Abstract
© 2015, Australian National University. All rights reserved. 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.
| Original language | English |
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| Pages (from-to) | 1-22 |
| Journal | Electronic Journal of Combinatorics |
| Volume | 22 |
| Issue number | 3 |
| Publication status | Published - 2015 |