Reduced power graph of a group

DOI10.1016/j.endm.2017.10.063zbMath1383.05159OpenAlexW2773487876MaRDI QIDQ2413337

R. Rajkumar, T. Anitha

Publication date: 10 April 2018

Full work available at URL: https://doi.org/10.1016/j.endm.2017.10.063

zbMATH Keywords

grouppower graphreduced power graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (15)

Prime index elements graph of a group ⋮ Forbidden subgraphs in reduced power graphs of finite groups ⋮ On the order supergraph of the power graph of a finite group ⋮ Grothendieck groups of purely infinite simple Leavitt path algebras for punctured power graphs of finite groups ⋮ Connectivity of superpower graphs of some non-abelian finite groups ⋮ Unnamed Item ⋮ Perfect codes in proper reduced power graphs of finite groups ⋮ On the power graph and the reduced power graph of a finite group ⋮ Characterization of groups with planar, toroidal or projective planar (proper) reduced power graphs ⋮ The power graph of a torsion-free group determines the directed power graph ⋮ Strong metric dimensions for power graphs of finite groups ⋮ Proper connection of power graphs of finite groups ⋮ On the metric dimension of the reduced power graph of a finite group ⋮ Laplacian spectrum of reduced power graph of certain finite groups ⋮ Leavitt path algebras for power graphs of finite groups

Cites Work

• Characterization of the finite simple groups by spectrum and order.
• Directed graphs and combinatorial properties of semigroups
• Undirected power graphs of semigroups
• Corrigendum and Addendum to "Classification of Finite Groups with all Elements of Prime Order"
• Power graphs: A survey
• A textbook of graph theory
• Unnamed Item
• Unnamed Item

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