On Cayley Graphs on the Symmetric Group Generated by Tranpositions
β Scribed by Joel Friedman
- Publisher
- Springer-Verlag
- Year
- 2000
- Tongue
- English
- Weight
- 256 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a finite group, S a subset of G=f1g; and let Cay Γ°G; SΓ denote the Cayley digraph of G with respect to S: If, for any subset T of G=f1g; CayΓ°G; SΓ ffi CayΓ°G; T Γ implies that S a ΒΌ T for some a 2 AutΓ°GΓ; then S is called a CI-subset. The group G is called a CIM-group if for any minimal gene
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.
The aim of this note is to present a short proof of a result of Nedela and S8 koviera (J. Graph Theory 19 (1995, 1 11)) concerning those generalized Petersen graphs that are also Cayley graphs. In that paper the authors chose the heavy weaponry of regular maps on closed connected orientable surfaces
In this paper a short proof is given of a theorem of M . Gromov in a particular case using a combinatorial argument .