Results 121 to 130 of about 420,658 (213)

NORMAL 6-VALENT CAYLEY GRAPHS OF ABELIAN GROUPS

International Journal of Industrial Engineering and Production Research, 2008
: We call a Cayley graph Γ = Cay (G, S) normal for G, if the right regular representation R(G) of G is normal in the full automorphism group of Aut(Γ). In this paper, a classification of all non-normal Cayley graphs of finite abelian group with valency 6
M. Alaeiyan
doaj  

Finite edge-transitive Cayley graphs and rotary Cayley maps

, 2006
This paper aims to develop a theory for studying Cayley graphs, especially for those with a high degree of symmetry. The theory consists of analysing several types of basic Cayley graphs (normal, bi-normal, and corefree), and analysing several operations
Cai Heng Li
core  

Cayley Graphs of Groups and Their Applications [PDF]

, 2017
Cayley graphs are graphs associated to a group and a set of generators for that group (there is also an associated directed graph). The purpose of this study was to examine multiple examples of Cayley graphs through group theory, graph theory, and ...
Tripi, Anna
core  

Cayley Graphs

, 2016
Cayley graphs encode the abstract structure of a group.
Cailey Fitzgerald
core   +1 more source

On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies. [PDF]

PLoS One, 2023
Malik MA, Imran M, Adeel M.
europepmc   +1 more source

On Vertex-Degree-Based Topological Indices of Cayley Digraphs of Rectangular Groups and Their Role as Molecular Descriptors

Science and Technology Indonesia
Let Cay(S,A) be the Cayley digraph of a finite rectangular group S with connection set A. We derive explicit formulas for several vertex-degree–based topological indices of these digraphs, including the Randić, Zagreb, sum-connectivity, geometric ...
Denpong Pongpipat, Nuttawoot Nupo
doaj   +1 more source

Colouring Cayley graphs

, 1988
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii Abstract
Lei Chu
core  

Some Tetravalent One-Regular Graphs of Special Order

پژوهش‌های ریاضی, 2020
A graph is one-regular if its automorphism group acts regularly on the set of its arcs. In this paper, tetravalent one-regular graphs of order 11p2, where p is a prime, are classied../files/site1/files/64/15 ...
Mohsen Ghasemi, Rezvan Varmazyar
doaj  

Girth of the Cayley graph and Cayley hash functions

CoRR
arXiv admin note: substantial text overlap with arXiv:2402 ...
openaire   +4 more sources

Percolation on Finite Cayley Graphs

, 2002
In this paper, we study percolation on finite Cayley graphs. A conjecture of Benjamini says that the critical percolation pc of such a graph can be bounded away from one, for any Cayley graph satisfying a certain diameter condition.
Christopher Malon, Igor Pak
core   +1 more source