Domination dot-critical graphs

DOI10.1016/J.DISC.2005.06.029zbMath1085.05047OpenAlexW2030534238MaRDI QIDQ817744

David P. Sumner, Tamara Burton

Publication date: 20 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.disc.2005.06.029

zbMATH Keywords

treecorona

Mathematics Subject Classification ID

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

Related Items (21)

Domination stability in graphs ⋮ On connected 3-\(\gamma_L\)-dot-critical graphs ⋮ \(\gamma\)-excellent, critically dominated, end-dominated, and dot-critical trees are equivalent ⋮ Paired domination stability in graphs ⋮ Total domination dot-critical graphs ⋮ Domination game critical graphs ⋮ Upper bound on the diameter of a domination dot-critical graph ⋮ Total domination stability in graphs ⋮ Upper bounds on the diameter of domination dot-critical graphs with given connectivity ⋮ Reducing the domination number of graphs via edge contractions and vertex deletions ⋮ The connectivity of domination dot-critical graphs with no critical vertices ⋮ Domination dot-critical graphs with no critical vertices ⋮ A characterization of domination weak bicritical graphs with large diameter ⋮ A note on the domination dot-critical graphs ⋮ Total domination dot-stable graphs ⋮ Trees with equal domination and restrained domination numbers ⋮ Connected Domination ⋮ On the diameter of a domination dot-critical graph ⋮ 2-domination dot-stable and dot-critical graphs ⋮ Vizing's conjecture: a survey and recent results ⋮ Domination dot-critical graphs

Cites Work

• Domination dot-critical graphs
• Vertex domination-critical graphs
• Domination critical graphs
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