Automorphisms group and domination number of a graph based on linear transformations and their kernels

DOI10.1080/03081087.2022.2118215zbMath1529.05087OpenAlexW4294707596WikidataQ114100529 ScholiaQ114100529MaRDI QIDQ6085698

Xianwen Fang, Xianya Geng, Xiaobin Ma

Publication date: 8 November 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2022.2118215

zbMATH Keywords

automorphism groupdomination number

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Cites Work

• Subspace-based subspace sum graph on vector spaces
• Automorphism group of the subspace inclusion graph of a vector space
• Nonzero Component Graph of a Finite Dimensional Vector Space
• Subspace Inclusion Graph of a Vector Space
• On nonzero component graph of vector spaces over finite fields
• Non-zero component union graph of a finite-dimensional vector space
• On two conjectures on the subspace inclusion 6 graph of a vector space
• Independence number of subspace inclusion graph and subspace sum graph of a vector space
• Automorphisms and domination numbers of transformation graphs over vector spaces

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