Bounding the locating-total domination number of a tree in terms of its annihilation number

DOI10.7151/dmgt.2063zbMath1401.05221OpenAlexW2794821095MaRDI QIDQ1630920

Y. Aharonov

Publication date: 5 December 2018

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgt.2063

zbMATH Keywords

treetotal dominationannihilation numberlocating-total domination

Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (5)

Relating the total domination number and the annihilation number for quasi-trees and some composite graphs ⋮ Some more updates on an annihilation number conjecture: pros and cons ⋮ Locating-total domination number of cacti graphs ⋮ Locating-total domination in grid graphs ⋮ On an annihilation number conjecture

Cites Work

• Unnamed Item
• Relating the annihilation number and the 2-domination number of a tree
• Locating-total domination in graphs
• Bounds on the locating-total domination number of a tree
• Graphs with equal independence and annihilation numbers
• Independence and the Havel-Hakimi residue
• Relating the annihilation number and the total domination number of a tree
• Locating and total dominating sets in trees
• A characterization of locating-total domination edge critical graphs
• On locating and differetiating-total domination in trees
• On domination and annihilation in graphs with claw-free blocks

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