Graphs defined on groups

DOI10.22108/ijgt.2021.127679.1681zbMath1496.05070arXiv2102.11177OpenAlexW4288048186MaRDI QIDQ5102166

Peter J. Cameron

Publication date: 6 September 2022

Full work available at URL: https://arxiv.org/abs/2102.11177

zbMATH Keywords

power graphcommuting graphcographgenerating graph

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (21)

Metric and strong metric dimension in commuting graphs of finite groups ⋮ On the connectivity of the non-generating graph ⋮ A survey on enhanced power graphs of finite groups ⋮ Solvable conjugacy class graph of groups ⋮ On the super graphs and reduced super graphs of some finite groups ⋮ The clique number of the intersection graph of a finite group ⋮ Power graphs of all nilpotent groups ⋮ Classification of non-solvable groups whose power graph is a cograph ⋮ The non-commuting, non-generating graph of a non-simple group ⋮ On the strong connectivity of the \(2\)-Engel graphs of almost simple groups ⋮ A conjecture related to the nilpotency of groups with isomorphic non-commuting graphs ⋮ Induced subgraphs of zero-divisor graphs ⋮ On groups with chordal power graph, including a classification in the case of finite simple groups ⋮ The prime graphs of groups with arithmetically small composition factors ⋮ On the number of edges of cyclic subgroup graphs of finite groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Graphs defined on groups ⋮ Forbidden subgraphs in generating graphs of finite groups ⋮ On the soluble graph of a finite group ⋮ Recent developments on the power graph of finite groups – a survey

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