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Constructing graphs which are ½-transitive

  • Brian Alspach (a1), Dragan Marušič (a2) and Lewis Nowitz (a3)
Abstract
Abstract

An infinite family of vertex-and edge-transitive, but not arc-transitive, graphs of degree 4 is constructed.

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References
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[1]Alspach B. and Parsons T. D., ‘A construction for vertex-transitive graphs’, Canad. J. Math. 34 (1982), 307318.
[2]Alspach B., ‘On hamiltonian cycle in metacirculant graphs’, Ann. Discrete Math. 15 (1982), 17.
[3]Biggs N., Algebraic graph theory (Cambridge University Press, Cambridge, 1974).
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[7]Holt D. F., ‘A graph which is edge-transitive but not arc-transitive’, J. Graph Theory 5 (1981), 201204.
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[12]Praeger C. E. and Y Xu M., ‘Vertex primitive graphs of order a product of two distinct primes’, preprint.
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[14]Turner J., ‘Point symmetric graphs with a prime number of points’, J. Combin. Theory 3 (1967), 136145.
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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