Let G be a finite group, S a subset of G=f1g; and let Cay ðG; SÞ denote the Cayley digraph of G with respect to S: If, for any subset T of G=f1g; CayðG; SÞ ffi CayðG; T Þ implies that S a ¼ T for some a 2 AutðGÞ; then S is called a CI-subset. The group G is called a CIM-group if for any minimal gene
On the diameter of cayley graphs of the symmetric group
✍ Scribed by László Babai; Ákos Seress
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 244 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0097-3165
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📜 SIMILAR VOLUMES
The Hamilton cycles of a graph generate a subspace of the cycle space called the Hamilton space. The Hamilton space of any connected Cayley graph on an abelian group is determined in this paper.
In this paper a short proof is given of a theorem of M . Gromov in a particular case using a combinatorial argument .
Alspach has conjectured that any 2k-regular connected Cayley graph cay(A,S) on a finite abelian group A can be decomposed into k hamiltonian cycles. In this paper, the conjecture is shown to be true if S= {sl,sz, s3} is a minimal generating set of A with 1 Al odd, or S={sl,s& . . . . sk} is a genera