An algebraic approach to sets defining minimal dominating sets of regular graphs

DOI10.5614/ejgta.2023.11.2.5zbMath1528.13005OpenAlexW4388036206MaRDI QIDQ6090316

Mehrdad Nasernejad

Publication date: 16 December 2023

Published in: Electronic Journal of Graph Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5614/ejgta.2023.11.2.5

zbMATH Keywords

regular graphsminimal dominating setsclosed neighborhood idealsdominating ideals

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Combinatorial aspects of commutative algebra (05E40)

Cites Work

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• Sets defining minimal vertex covers
• Cohen-Macaulay graphs
• Dominating ideals and closed neighborhood ideals of graphs
• Closed neighborhood ideals of finite simple graphs
• Closed neighborhood ideal of a graph
• Monomial Ideals
• On the distance domination number of bipartite graphs
• Outer independent global dominating set of trees and unicyclic graphs
• Monomial Algebras

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