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Cubic graphs with most automorphisms

Combinatorics 2007-05-23 v1

Abstract

We give a sharp bound for the automorphism group of a cubic simple graph with a given number of vertices. For each number of vertices we give an explicit graph attaining the bound, and prove its uniqueness in special cases.

Keywords

Cite

@article{arxiv.math/0608645,
  title  = {Cubic graphs with most automorphisms},
  author = {Michael A. van Opstall and Razvan Veliche},
  journal= {arXiv preprint arXiv:math/0608645},
  year   = {2007}
}

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24 pages