AbstractIn 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 Γ. 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 conditions on the graphs are shown. One is a condition on the degrees of the graph, the other concerns complete subgraphs
AbstractIn this note we obtain a simple expression of any finite group by means of its generating se...
Suppose G is a finite group, such that |G | = 30p, where p is prime. We show that if S is any gener...
Suppose that G is a finite group, such that |G| =27p, where p is prime. We show that if S is any gen...
In this short note the neighbourhood graph of a Cayley graph is considered. It has as nodes a symmet...
AbstractIn this short note the neighbourhood graph of a Cayley graph is considered. It has, as nodes...
A Cayley graph is a pictorial representation of the structure of a group G with respect to a generat...
A Cayley graph is a pictorial representation of the structure of a group G with respect to a generat...
Let G be a finite group and S a subset of G such that S = S-1 and 1G /. S. Then the Cayley graph G =...
On one hand the content of this thesis falls within the scope of Group theory, and on the other han...
The k-degree Cayley graph has been proposed by Hsieh and Hsiao (Networks 47 (2006), 26-36). They hav...
This thesis is an exploration of the relationship between groups and their Cayley graphs. Roughly sp...
The k-degree Cayley graph has been proposed by Hsieh and Hsiao (Networks 47 (2006), 26-36). They hav...
For a finite group G a graph Γ(G) is defined on the elements of G in such a way that two distinct ve...
We present a computer-assisted analysis of combinatorial properties of the Cayley graphs of certain ...
AbstractLet Γ and Δ be finite groups. We give a sufficient condition to prove that every Cayley grap...
AbstractIn this note we obtain a simple expression of any finite group by means of its generating se...
Suppose G is a finite group, such that |G | = 30p, where p is prime. We show that if S is any gener...
Suppose that G is a finite group, such that |G| =27p, where p is prime. We show that if S is any gen...
In this short note the neighbourhood graph of a Cayley graph is considered. It has as nodes a symmet...
AbstractIn this short note the neighbourhood graph of a Cayley graph is considered. It has, as nodes...
A Cayley graph is a pictorial representation of the structure of a group G with respect to a generat...
A Cayley graph is a pictorial representation of the structure of a group G with respect to a generat...
Let G be a finite group and S a subset of G such that S = S-1 and 1G /. S. Then the Cayley graph G =...
On one hand the content of this thesis falls within the scope of Group theory, and on the other han...
The k-degree Cayley graph has been proposed by Hsieh and Hsiao (Networks 47 (2006), 26-36). They hav...
This thesis is an exploration of the relationship between groups and their Cayley graphs. Roughly sp...
The k-degree Cayley graph has been proposed by Hsieh and Hsiao (Networks 47 (2006), 26-36). They hav...
For a finite group G a graph Γ(G) is defined on the elements of G in such a way that two distinct ve...
We present a computer-assisted analysis of combinatorial properties of the Cayley graphs of certain ...
AbstractLet Γ and Δ be finite groups. We give a sufficient condition to prove that every Cayley grap...
AbstractIn this note we obtain a simple expression of any finite group by means of its generating se...
Suppose G is a finite group, such that |G | = 30p, where p is prime. We show that if S is any gener...
Suppose that G is a finite group, such that |G| =27p, where p is prime. We show that if S is any gen...
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