Further Results on Total Edge-Vertex Domination
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-ver...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5439610 |
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| _version_ | 1832563868630515712 |
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| author | Abdulgani Şahin |
| author_facet | Abdulgani Şahin |
| author_sort | Abdulgani Şahin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-cbcc3483f8394facab70042b696a94e7 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-cbcc3483f8394facab70042b696a94e72025-02-03T01:12:22ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5439610Further Results on Total Edge-Vertex DominationAbdulgani Şahin0Department of MathematicsTotal 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.http://dx.doi.org/10.1155/2022/5439610 |
| spellingShingle | Abdulgani Şahin Further Results on Total Edge-Vertex Domination Journal of Mathematics |
| title | Further Results on Total Edge-Vertex Domination |
| title_full | Further Results on Total Edge-Vertex Domination |
| title_fullStr | Further Results on Total Edge-Vertex Domination |
| title_full_unstemmed | Further Results on Total Edge-Vertex Domination |
| title_short | Further Results on Total Edge-Vertex Domination |
| title_sort | further results on total edge vertex domination |
| url | http://dx.doi.org/10.1155/2022/5439610 |
| work_keys_str_mv | AT abdulganisahin furtherresultsontotaledgevertexdomination |