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- W4379801498 abstract "Abstract A connected graph of order n admitting a semiregular automorphism of order n / k is called a k -multicirculant. Highly symmetric multicirculants of small valency have been extensively studied, and several classification results exist for cubic vertex- and arc-transitive multicirculants. In this paper, we study the broader class of cubic vertex-transitive graphs of order n admitting an automorphism of order n /3 or larger that may not be semiregular. In particular, we show that any such graph is either a k -multicirculant for some $$k le 3$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>k</mml:mi> <mml:mo>≤</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> </mml:math> , or it belongs to an infinite family of graphs of girth 6." @default.
- W4379801498 created "2023-06-09" @default.
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- W4379801498 date "2023-06-07" @default.
- W4379801498 modified "2023-09-25" @default.
- W4379801498 title "Cubic Vertex-Transitive Graphs Admitting Automorphisms of Large Order" @default.
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- W4379801498 doi "https://doi.org/10.1007/s40840-023-01526-x" @default.
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