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A constructive characterization of total domination vertex critical graphs

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Publication:1011745
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DOI10.1016/j.disc.2008.01.015zbMath1166.05009OpenAlexW2081433045MaRDI QIDQ1011745

Xiangwen Li, Chunxiang Wang, Zhi-quan Hu

Publication date: 9 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2008.01.015


zbMATH Keywords

coronaCayley graphstotal domination numbertotal domination setvertex critical graphs


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)


Related Items (7)

Total domination dot-critical graphs ⋮ On 3-\(\gamma_t\)-vertex critical graphs of diameter three ⋮ Total domination changing and stable graphs upon vertex removal ⋮ Perfect matchings in total domination critical graphs ⋮ On 2-rainbow domination of generalized Petersen graphs ⋮ Matching properties in total domination vertex critical graphs ⋮ Connected Domination



Cites Work

  • The diameter of total domination vertex critical graphs
  • Unnamed Item




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