𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Which finitely generated Abelian groups admit isomorphic Cayley graphs?

✍ Scribed by Clara Löh

Book ID
121479809
Publisher
Springer
Year
2012
Tongue
English
Weight
275 KB
Volume
164
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Neighbourhood Graphs of Cayley Graphs fo
Neighbourhood Graphs of Cayley Graphs for Finitely-generated Groups
✍ Markus Neuhauser 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 134 KB

In this short note the neighbourhood graph of a Cayley graph is considered. It has, as nodes, a symmetric generating set of a finitely-generated group . Two nodes are connected by an edge if one is obtained from the other by multiplication on the right by one of the generators. Two necessary conditi

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

Hamiltonian paths in Cayley digraphs of
Hamiltonian paths in Cayley digraphs of finitely-generated infinite abelian groups
✍ Douglas Jungreis 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 983 KB

We show every finitely-generated, infinite abeliar\_ group (i.e. Zn x G where G is a finite abelian group) has a minimal generating set for which the Cayley digraph has a two-way in&rite hamiltonian path, and if n 2 2, then this Cayley digraph also has a one-way infinite hamiltonian path. We show fu