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Cayley graphs of the group ℤ4 and limits for minimal vertex-primitive graphs of HA-type

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Abstract

We point out a countable set of pairwise nonisomorphic Cayley graphs of the group ℤ4 that are limit for finite minimal vertex-primitive graphs admitting a vertex-primitive automorphism group containing a regular Abelian normal subgroup.

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References

  1. M. Giudici, C. H. Li, C. E. Praeger, et al., “On limit graphs of finite vertex-primitive graphs,” J. Comb. Th., Ser. A, 114, 110–134.

  2. K. V. Kostousov, “The Cayley graphs of ℤd and the limits of vertex-primitive graphs of HA-type,” Sib. Mat. Zh., 48, No. 3, 606–620 (2007).

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg, Russia

    K. V. Kostousov

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  1. K. V. Kostousov
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Correspondence to K. V. Kostousov.

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Supported by RFBR grant No. 06-01-00378.

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Translated from Algebra i Logika, Vol. 47, No. 2, pp. 203–214, March–April, 2008.

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Kostousov, K.V. Cayley graphs of the group ℤ4 and limits for minimal vertex-primitive graphs of HA-type. Algebra Logic 47, 118–124 (2008). https://doi.org/10.1007/s10469-008-9000-6

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  • DOI: https://doi.org/10.1007/s10469-008-9000-6

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