𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Isomorphisms of Cayley multigraphs of degree 4 on finite abelian groups

✍ Scribed by C. Delorme; O. Favaron; M. Mahe´o

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
212 KB
Volume
13
Category
Article
ISSN
0195-6698

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Isomorphisms of Cayley Graphs of
On the Isomorphisms of Cayley Graphs of Abelian Groups
✍ Yan-Quan Feng; Yan-Pei Liu; Ming-Yao Xu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 190 KB

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 Isomorphisms of Finite Cayley Graphs
On Isomorphisms of Finite Cayley Graphs
✍ M. Conder; C. Heng Li 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 148 KB

A Cayley graph Cay(G, S) of a group G is called a CI-graph if whenever T is another subset of G for which Cay(G, S) ∼ = Cay(G, T ), there exists an automorphism σ of G such that S σ = T . For a positive integer m, the group G is said to have the m-CI property if all Cayley graphs of G of valency m a

Circuits in cayley digraphs of finite ab
Circuits in cayley digraphs of finite abelian groups
✍ Anne Marie Wilkinson 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 290 KB

## Abstract We find all possible lengths of circuits in Cayley digraphs of two‐generated abelian groups over the two‐element generating sets and over certain three‐element generating sets.

The exponent of the primitive Cayley dig
The exponent of the primitive Cayley digraphs on finite Abelian groups
✍ Wang Jian-Zhong; Meng Ji-Xiang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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

Hamiltonian decompositions of Cayley gra
Hamiltonian decompositions of Cayley graphs on Abelian groups
✍ Jiuqiang Liu 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 606 KB

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