Add to ORKGThe noncommuting graph $nabla (G)$ of a group $G$ is a simple graph whose vertex set is the set of noncentral elements of $G$ and the edges of which are the ones connecting two noncommuting elements. We determine here, up to isomorphism, the structure of any finite nonabeilan group $G$ whose noncommuting graph is a split graph, that is, a graph whose vertex set can be partitioned into two sets such that the induced subgraph on one of them is a complete graph and the induced subgraph on the other is an independent set
Abstract. We study the structure of generalized Baumslag–Solitar groups from the point of view of th...
This paper concerns aspects of various graphs whose vertex set is a group G and whose edges reflect ...
Given a class of finite groups, we consider the graph Σ(G) whose vertices are the elements of G and ...
The non-commuting graph $nabla(G)$ of a non-abelian group $G$ is defined as follows: its vertex set ...
AbstractLet G be any non-abelian group and Z(G) be its center. The non-commuting graph ΓG of G is th...
For any non-abelian group G, the non-commuting graph of G, Γ=ΓG, is a graph with vertex set G \ Z(G)...
AbstractThe non-commuting graph ΓG of a non-abelian group G is defined as follows. The vertex set of...
A dominating set S of a graph is a subset of the vertex set of the graph in which the closed neighbo...
An automorphism of finite graph G is a permutation on its vertex set that conserves adjacency. The s...
Funding: UK ESPRC grant number EP/R014604/1, and partially supported by a grant from the Simons Foun...
Abstract. Suppose n is a fixed positive integer. We introduce the relative n-th non-commuting graph ...
Let G be a nite non-abelian group. The noncommuting graph of G is denoted by ? (G) and is defined as...
Abstract: Assume G is a non-abelian finite group. The non-commuting graph Γ G of G is defined as a g...
Let G be a metacyclic p-group and Z(G) be its center. The non-commuting graph ΓG of a metacyclic p-g...
The non-cyclic graph CG to a non locally cyclic group G is as follows: take G∖Cyc(G) as vertex set, ...
Abstract. We study the structure of generalized Baumslag–Solitar groups from the point of view of th...
This paper concerns aspects of various graphs whose vertex set is a group G and whose edges reflect ...
Given a class of finite groups, we consider the graph Σ(G) whose vertices are the elements of G and ...
The non-commuting graph $nabla(G)$ of a non-abelian group $G$ is defined as follows: its vertex set ...
AbstractLet G be any non-abelian group and Z(G) be its center. The non-commuting graph ΓG of G is th...
For any non-abelian group G, the non-commuting graph of G, Γ=ΓG, is a graph with vertex set G \ Z(G)...
AbstractThe non-commuting graph ΓG of a non-abelian group G is defined as follows. The vertex set of...
A dominating set S of a graph is a subset of the vertex set of the graph in which the closed neighbo...
An automorphism of finite graph G is a permutation on its vertex set that conserves adjacency. The s...
Funding: UK ESPRC grant number EP/R014604/1, and partially supported by a grant from the Simons Foun...
Abstract. Suppose n is a fixed positive integer. We introduce the relative n-th non-commuting graph ...
Let G be a nite non-abelian group. The noncommuting graph of G is denoted by ? (G) and is defined as...
Abstract: Assume G is a non-abelian finite group. The non-commuting graph Γ G of G is defined as a g...
Let G be a metacyclic p-group and Z(G) be its center. The non-commuting graph ΓG of a metacyclic p-g...
The non-cyclic graph CG to a non locally cyclic group G is as follows: take G∖Cyc(G) as vertex set, ...
Abstract. We study the structure of generalized Baumslag–Solitar groups from the point of view of th...
This paper concerns aspects of various graphs whose vertex set is a group G and whose edges reflect ...
Given a class of finite groups, we consider the graph Σ(G) whose vertices are the elements of G and ...