Total domination changing and stable graphs upon vertex removal

DOI10.1016/J.DAM.2011.06.006zbMath1231.05198OpenAlexW1991685641MaRDI QIDQ642980

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

Publication date: 27 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.dam.2011.06.006

zbMATH Keywords

total dominationvertex removal changingvertex removal stable

Mathematics Subject Classification ID

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

Related Items (4)

Paired domination stability in graphs ⋮ Total domination stability in graphs ⋮ On the 2-rainbow domination stable graphs ⋮ On the total Roman domination stability in graphs

Cites Work

• Total domination critical and stable graphs upon edge removal
• Total domination stable graphs upon edge addition
• A survey of selected recent results on total domination in graphs
• A constructive characterization of total domination vertex critical graphs
• The diameter of total domination vertex critical graphs
• Total domination in graphs
• Graphs with large total domination number
• Total Domination Edge Critical Graphs with Maximum Diameter
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