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• W2003011121 abstract "Following Alspach and Parsons, a metacirculant graph is a graph admitting a transitive group generated by two automorphisms ρ and σ, where ρ is (m,n)-semiregular for some integers m≥1, n≥2, and where σ normalizes ρ, cyclically permuting the orbits of ρ in such a way that σ m has at least one fixed vertex. A half-arc-transitive graph is a vertex- and edge- but not arc-transitive graph. In this article quartic half-arc-transitive metacirculants are explored and their connection to the so called tightly attached quartic half-arc-transitive graphs is explored. It is shown that there are three essentially different possibilities for a quartic half-arc-transitive metacirculant which is not tightly attached to exist. These graphs are extensively studied and some infinite families of such graphs are constructed." @default.
• W2003011121 created "2016-06-24" @default.
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• W2003011121 date "2007-12-05" @default.
• W2003011121 modified "2023-09-26" @default.
• W2003011121 title "On quartic half-arc-transitive metacirculants" @default.
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• W2003011121 doi "https://doi.org/10.1007/s10801-007-0107-y" @default.
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