Diameters and automorphism groups of inclusion graphs over nilpotent groups

DOI10.1142/S0219498820500978zbMath1443.05052OpenAlexW2939444849WikidataQ114614669 ScholiaQ114614669MaRDI QIDQ3296153

Shikun Ou, Dein Wong, Zhi-Jun Wang

Publication date: 7 July 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820500978

zbMATH Keywords

diameterautomorphism groupsdominating setsinclusion graphs of groups

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Finite nilpotent groups, (p)-groups (20D15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (1)

Planarity and fixing number of inclusion graph of a nilpotent group

Cites Work

• Unnamed Item
• A matrix ring with commuting graph of maximal diameter
• On the inclusion ideal graph of a ring.
• Automorphism groups of supergraphs of the power graph of a finite group
• The total graph and regular graph of a commutative ring
• The full automorphism group of the power (di)graph of a finite group
• Automorphisms and distinguishing numbers of geometric cliques
• The total graph of a commutative ring
• A course on finite groups.
• Characterization of the alternating group by its non-commuting graph.
• Automorphism group of the subspace inclusion graph of a vector space
• On zero-divisor graphs of finite rings.
• Undirected power graphs of semigroups
• The diameter of the commuting graph of a finite group with trivial centre.
• Permutability graph of cyclic subgroups
• Subspace Inclusion Graph of a Vector Space
• The power graph of a finite group, II
• Intersection graphs of subgroups of finite groups
• On two conjectures on the subspace inclusion 6 graph of a vector space
• On the intersection graph of a finite group
• The intersection graph of a group
• A note on the power graph of a finite group
• The graph of subgroups of a finite group
• On the diameter of the intersection graph of a finite simple group

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