Recent developments on the power graph of finite groups – a survey
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Publication:5016217
DOI10.1080/09728600.2021.1953359zbMath1476.05071OpenAlexW3184848811MaRDI QIDQ5016217
Ajay Kumar, Peter J. Cameron, T. Tamizh Chelvam, Lavanya Selvaganesh
Publication date: 13 December 2021
Published in: AKCE International Journal of Graphs and Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/09728600.2021.1953359
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Connectivity (05C40) Eulerian and Hamiltonian graphs (05C45)
Related Items (14)
On characterization of a completely simple semigroup by its power graph and Green relations ⋮ A survey on enhanced power graphs of finite groups ⋮ On the super graphs and reduced super graphs of some finite groups ⋮ Power graphs of all nilpotent groups ⋮ The extreme vertices of the power graph of group \(S_n\) ⋮ Connectivity of superpower graphs of some non-abelian finite groups ⋮ Degree and distance based topological descriptors of power graphs of finite non-abelian groups ⋮ The lambda number of the power graph of a finite \(p\)-group ⋮ Connectivity of the reduced power graphs of finite simple groups ⋮ On groups with chordal power graph, including a classification in the case of finite simple groups ⋮ Enhanced power graphs of groups are weakly perfect ⋮ On the Hawkes graphs of finite groups ⋮ On the connectivity and equality of some graphs on finite semigroups ⋮ On the minimum degree of power graphs of finite nilpotent groups
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