On minimum intersections of certain secondary dominating sets in graphs

DOI10.7494/OPMATH.2023.43.6.813MaRDI QIDQ6137689

Iwona Włoch, Unnamed Author, Adrian Michalski

Publication date: 4 September 2023

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

dominating setdomination numbers2-dominating set(1,2)-dominating set\((1,\overline{2})\)-intersection indexproper (1,2)-dominating set

Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

• On graceful spider graphs with at most four legs of lengths greater than one
• Secondary domination in graphs
• On the existence and the number of independent (1,2)-dominating sets in the \(G\)-join of graphs
• Bounds on the burning numbers of spiders and path-forests
• Graphs with equal domination and 2-distance domination numbers
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