Cover Image

On the strong domination number of proper enhanced power graphs of finite groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Bera, Sudip
Format:	Preprint
Published:	2024
Subjects:	Combinatorics Group Theory 05C25, 20D10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An exact enumeration of vertex connectivity of the enhanced power graphs of finite nilpotent groups
by: Bera, Sudip, et al.
Published: (2024)

Centralizers in finite groups and Domination number of their commuting graphs
by: Bera, Sudip, et al.
Published: (2026)

Enhanced power graphs of finite groups with cograph structure
by: Bubboloni, Daniela, et al.
Published: (2025)

On neighborhoods in the enhanced power graph associated with a finite group
by: Lewis, Mark L., et al.
Published: (2024)

On combinatorial properties of Gruenberg--Kegel graphs of finite groups
by: Chen, Mingzhu, et al.
Published: (2024)

Difference graphs of finite abelian groups with two Sylow subgroups
by: Bošnjak, Ivica, et al.
Published: (2024)

Colourings of Cayley graphs of finite $3$-groups
by: Grzeszczuk, Piotr
Published: (2026)

Excluded power graphs of groups
by: Curtin, Brian
Published: (2025)

Uni-width subgroups, universal elements, and lambda number of finite groups
by: Sarkar, Siddhartha
Published: (2022)

Characterizations of $p$-groups whose power graphs satisfy certain connectivity conditions
by: Panda, Ramesh Prasad
Published: (2023)

Elementary proofs of the diameter bounds for the power graphs
by: Barbieri, Marco, et al.
Published: (2024)

Characterizing finite groups whose enhanced power graphs have universal vertices
by: Costanzo, David G., et al.
Published: (2024)

A survey on conjugacy class graphs of groups
by: Cameron, P. J., et al.
Published: (2024)

Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps
by: Hua, Peice
Published: (2025)

On the solubilizer of an element in a finite group
by: Akbari, Banafsheh, et al.
Published: (2022)

On the number of generators of groups acting arc-transitively on graphs
by: Barbieri, Marco, et al.
Published: (2024)

Maps, simple groups, and arc-transitive graphs
by: Liebeck, Martin W., et al.
Published: (2024)

$R$-weighted graphs and commutators
by: Kishnani, Harish, et al.
Published: (2025)

A conjecture related to the nilpotency of groups with isomorphic non-commuting graphs
by: Grazian, Valentina, et al.
Published: (2023)

Neighborhoods, connectivity, and diameter of the nilpotent graph of a finite group
by: Delizia, Costantino, et al.
Published: (2025)

Variations on the Thompson theorem
by: Tong-Viet, Hung P.
Published: (2024)

Regular $t$-balanced Cayley maps on split metacyclic $2$-groups
by: Chen, Haimiao, et al.
Published: (2017)

Enhanced power graph from the power graph of a group
by: Pote, Amar S., et al.
Published: (2025)

On the minimal (edge) connectivity of graphs and its applications to power graphs of finite groups
by: Parveen, et al.
Published: (2024)

Arc-transitive maps with coprime Euler characteristic and edge number -- II
by: Li, Cai Heng, et al.
Published: (2024)

Arc-transitive maps with edge number coprime to the Euler characteristic -- I
by: Li, Cai Heng, et al.
Published: (2024)

Every group is the automorphism group of a graph with arbitrarily large genus
by: Barbieri, Marco
Published: (2025)

Genus and crosscap of Normal subgroup based power graphs of finite groups
by: Parveen, et al.
Published: (2024)

Critical groups and partitions of finite groups
by: Bubboloni, Daniela, et al.
Published: (2024)

Aspects of the commuting graph
by: Arvind, V., et al.
Published: (2023)

On finite nilpotent groups with the same enhanced power graph
by: Mirzargar, M., et al.
Published: (2025)

Endomorphism and automorphism graphs of finite groups
by: Ajith, Midhuna V, et al.
Published: (2025)

Notes on the diameter of the complement of the power graph of a finite group
by: Ma, Xuanlong, et al.
Published: (2021)

On $m$-partite oriented semiregular representations of finite groups
by: Du, Jia-Li
Published: (2026)

Classifying Prime Character Degree Graphs With Eight Vertices
by: Lewis, Mark L., et al.
Published: (2026)

On finite groups whose power graphs satisfy certain connectivity conditions
by: Panda, Ramesh Prasad
Published: (2025)

The diameter and dominating sets of the difference graph of a nilpotent group
by: Ma, Xuanlong, et al.
Published: (2026)

Symmetric Cayley graphs on non-abelian simple groups of valency 7
by: Zhang, Xing, et al.
Published: (2024)

On finite groups whose coprime graph is a divisor graph
by: Ma, Xuanlong, et al.
Published: (2025)

Automorphism group of the reduced power (di)graph of a finite group
by: Anitha, T., et al.
Published: (2022)