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Complexity and approximation ratio of semitotal domination in graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 3، دوره 3، شماره 2، زمستان 2018، صفحه 143-150 اصل مقاله (335 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2018.25987.1065 | ||
| نویسندگان | ||
Zehui Shao  ؛ Pu Wu
| ||
| Guangzhou University | ||
| چکیده | ||
| A set $S subseteq V(G)$ is a semitotal dominating set of a graph $G$ if it is a dominating set of $G$ and every vertex in $S$ is within distance 2 of another vertex of $S$. The semitotal domination number $gamma_{t2}(G)$ is the minimum cardinality of a semitotal dominating set of $G$. We show that the semitotal domination problem is APX-complete for bounded-degree graphs, and the semitotal domination problem in any graph of maximum degree $Delta$ can be approximated with an approximation ratio of $2+ln(Delta-1)$. | ||
| کلیدواژه ها | ||
| semitotal domination؛ APX-complete؛ NP-completeness | ||
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آمار تعداد مشاهده مقاله: 556 تعداد دریافت فایل اصل مقاله: 354 |
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