Relating the annihilation number and the total domination number of a tree

DOI10.1016/j.dam.2012.09.006zbMath1255.05134OpenAlexW2089651662MaRDI QIDQ1932455

Michael A. Henning, Wyatt J. Desormeaux, Teresa W. Haynes

Publication date: 18 January 2013

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2012.09.006

zbMATH Keywords

total dominationtotal domination numberannihilation number

Mathematics Subject Classification ID

Trees (05C05) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (10)

A note on the annihilation number and 2-domination number of a tree ⋮ Bounding the locating-total domination number of a tree in terms of its annihilation number ⋮ 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 ⋮ The annihilation number does not bound the 2-domination number from the above ⋮ The annihilation number and the total domination number of a tree-like graph ⋮ Relating the annihilation number and the total domination number for some graphs ⋮ Relating the annihilation number and the 2-domination number of block graphs ⋮ Relating the total domination number and the annihilation number of cactus graphs and block graphs ⋮ On an annihilation number conjecture

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