𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the primitivity of Cayley digraphs

✍ Scribed by Bernd Schomburg


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
136 KB
Volume
434
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The exponent of the primitive Cayley dig
✍ Wang Jian-Zhong; Meng Ji-Xiang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 811 KB

Let G be finite group and let S be a subset of G. We prove a necessary and sufficient condition for the Cayley digraph Xc~,s) to be primitive when S contains the central elements of G. As an immediate consequence we obtain that a Cayley digraph X 1, (6 S) on an Abelian group is primitive if and only

On Cayley line digraphs
✍ J.M. Brunat; M. Espona; M.A. Fiol; O. Serra πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 657 KB

Given a colouring A of a d-regular digraph G and a colouring H of the symmetric complete digraph on d vertices with loops, the uniformly induced colouring LnA of the line digraph LG is defined. It is shown that the group of colour-preserving automorphisms of (LG, L,A) is a subgroup of the group of c

On Cayley digraphs on nonisomorphic 2-gr
✍ IstvΓ‘n KovΓ‘cs; Mary Servatius πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 180 KB

A necessary and sufficient condition is given for two Cayley digraphs X 1 = Cay(G 1 , S 1 ) and X 2 = Cay(G 2 , S 2 ) to be isomorphic, where the groups G i are nonisomorphic abelian 2-groups, and the digraphs X i have a regular cyclic group of automorphisms. Our result extends that of Morris [J Gra