On the connectivity of enhanced power graphs of finite groups

DOI10.1007/s00373-020-02267-5zbMath1492.05076arXiv2007.03217OpenAlexW3119804217MaRDI QIDQ2657108

Sajal Kumar Mukherjee, Sudip Bera, Hiranya Kishore Dey

Publication date: 17 March 2021

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03217

zbMATH Keywords

abelian groupvertex connectivityenhanced power graphdominating vertex

Mathematics Subject Classification ID

Commutative semigroups (20M14) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Connectivity (05C40)

Related Items

On the connected power graphs of semigroups of homogeneous elements of graded rings ⋮ A survey on enhanced power graphs of finite groups ⋮ Line graph characterization of power graphs of finite nilpotent groups ⋮ Certain properties of the enhanced power graph associated with a finite group ⋮ Unnamed Item ⋮ Graphs defined on groups ⋮ On the proper enhanced power graphs of finite nilpotent groups ⋮ On the connectivity and equality of some graphs on finite semigroups

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