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Improved bounds on the domination number of a tree

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Publication:406327
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DOI10.1016/j.dam.2014.05.037zbMath1297.05175OpenAlexW2094190649MaRDI QIDQ406327

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

Publication date: 8 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.dam.2014.05.037


zbMATH Keywords

dominationdegree sequenceSlater number


Mathematics Subject Classification ID

Trees (05C05) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Vertex degrees (05C07)


Related Items

Largest domination number and smallest independence number of forests with given degree sequence ⋮ Revisiting \(k\)-tuple dominating sets with emphasis on small values of \(k\) ⋮ The set of all values of the domination number in trees with a given degree sequence ⋮ Bounds on the domination number of a digraph ⋮ Domination number and Laplacian eigenvalue of trees ⋮ Some comments on the Slater number ⋮ The Slater and sub-\(k\)-domination number of a graph with applications to domination and \(k\)-domination ⋮ A note on lower bounds for the total domination number of digraphs



Cites Work

  • Lower bound on the domination number of a tree
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