Vertex-transitive Graphs Which Are Not Cayley Graphs

@inproceedings{McKayVertextransitiveGW,
  title={Vertex-transitive Graphs Which Are Not Cayley Graphs},
  author={Brendan D. McKay}
}
The Petersen graph on 10 vertices is the smallest example of a vertex-transitive graph which is not a Cayley graph. We consider the problem of what orders such graphs have. In this, the first of a series of papers, we present a sequence of constructions which solve the problem for many orders. In particular, such graphs exist for all orders divisible by a fourth power, and all even orders which are divisible by a square. 

References

Publications referenced by this paper.
Showing 1-10 of 18 references

Cayley properties of vertex symmetric graphs

  • D. Marušič
  • Ars Combinatoria,
  • 1983
Highly Influential
7 Excerpts

Introduction to the theory of graphs (Allyn and Bacon

  • M. Behzad, G. Chartrand
  • 1971
Highly Influential
1 Excerpt

Similar Papers

Loading similar papers…