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Further Results on Total Edge‐Vertex Domination

Author

Listed:
  • Abdulgani Şahin

Abstract

Total edge‐vertex domination is a new total domination‐type parameter. In this paper, the author shows that determining the total edge‐vertex domination number in bipartite planar graphs is NP‐complete. Also, the author obtains a structural relation between total domination number and total edge‐vertex domination number and characterizes the trees whose total edge‐vertex domination number is equal to total domination number.

Suggested Citation

  • Abdulgani Şahin, 2022. "Further Results on Total Edge‐Vertex Domination," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:5439610
    DOI: 10.1155/2022/5439610
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    References listed on IDEAS

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    1. Liu, Jia-Bao & Pan, Xiang-Feng, 2016. "Minimizing Kirchhoff index among graphs with a given vertex bipartiteness," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 84-88.
    2. Wyatt J. Desormeaux & Teresa W. Haynes & Michael A. Henning, 2013. "Edge lifting and total domination in graphs," Journal of Combinatorial Optimization, Springer, vol. 25(1), pages 47-59, January.
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