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Further Results on Total Edge-Vertex Domination

Author

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  • Abdulgani Åžahin
  • Gohar Ali

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 Åžahin & Gohar Ali, 2022. "Further Results on Total Edge-Vertex Domination," Journal of Mathematics, Hindawi, vol. 2022, pages 1-6, March.
    • Handle: RePEc:hin:jjmath:5439610
    DOI: 10.1155/2022/5439610
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