Magister Scientiae - MScIn the course of exploring various symmetries of vertex-transitive graphs, we introduce the concept of quasi-normal subgroups in groups. This is done since the symmetries of vertex-transitive graphs are intimately linked to those, fait accompli, of groups. With this, we ask if the concept of strongly simple groups has a place for consideration.South Afric
Magister Scientiae - MScThis thesis is a study on the confluence of algebraic structures and graph t...
AbstractA graph X, with a subgroup G of the automorphism group Aut(X) of X, is said to be (G,s)-tran...
We generalise the standard constructions of a Cayley graph in terms of a group presentation by allow...
Open access, licensed under Creative CommonsIn this paper, we examine the structure of vertex- and e...
AbstractIn this paper we deal with simple graphs. We investigate vertex-transitivity, edge-transitiv...
AbstractWe investigate Cayley graphs of strong semilattices of right (left) groups, of right (left) ...
AbstractIn this paper, we study the structure of finite permutation groups with a transitive cyclic ...
AbstractWe introduce the concept of quasi-Cayley graphs, a class of vertex-transitive graphs which c...
Vertex-transitive graphs are one of the most favoured class of graphs in modelling scientific phenom...
Symmetries in graphs and networks are closely related to the fields of group theory (more specifical...
Let Gamma be a graph and let G be a subgroup of automorphisms of Gamma. Then G is said to be locally...
This paper describes the construction of all the vertex-transitive graphs on 24 vertices, thus exten...
AbstractLet Γ be a graph and let G be a subgroup of automorphisms of Γ. Then G is said to be locally...
Let G be a finite nonabelian simple group and let Gamma be a connected undirected Cayley graph for G...
>Magister Scientiae - MScThe pursuit of graphs which are vertex-transitive and non-Cayley on groups ...
Magister Scientiae - MScThis thesis is a study on the confluence of algebraic structures and graph t...
AbstractA graph X, with a subgroup G of the automorphism group Aut(X) of X, is said to be (G,s)-tran...
We generalise the standard constructions of a Cayley graph in terms of a group presentation by allow...
Open access, licensed under Creative CommonsIn this paper, we examine the structure of vertex- and e...
AbstractIn this paper we deal with simple graphs. We investigate vertex-transitivity, edge-transitiv...
AbstractWe investigate Cayley graphs of strong semilattices of right (left) groups, of right (left) ...
AbstractIn this paper, we study the structure of finite permutation groups with a transitive cyclic ...
AbstractWe introduce the concept of quasi-Cayley graphs, a class of vertex-transitive graphs which c...
Vertex-transitive graphs are one of the most favoured class of graphs in modelling scientific phenom...
Symmetries in graphs and networks are closely related to the fields of group theory (more specifical...
Let Gamma be a graph and let G be a subgroup of automorphisms of Gamma. Then G is said to be locally...
This paper describes the construction of all the vertex-transitive graphs on 24 vertices, thus exten...
AbstractLet Γ be a graph and let G be a subgroup of automorphisms of Γ. Then G is said to be locally...
Let G be a finite nonabelian simple group and let Gamma be a connected undirected Cayley graph for G...
>Magister Scientiae - MScThe pursuit of graphs which are vertex-transitive and non-Cayley on groups ...
Magister Scientiae - MScThis thesis is a study on the confluence of algebraic structures and graph t...
AbstractA graph X, with a subgroup G of the automorphism group Aut(X) of X, is said to be (G,s)-tran...
We generalise the standard constructions of a Cayley graph in terms of a group presentation by allow...