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تسجيل مستخدم جديدLiars Domination in Unit Disk Graphs
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نشر من قبل
Sangram Kishor Jena Mr
تاريخ النشر
2020
مجال البحث
الهندسة المعلوماتية
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English
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In this article, we study a variant of the minimum dominating set problem known as the minimum liars dominating set (MLDS) problem. We prove that the MLDS problem is NP-hard in unit disk graphs. Next, we show that the recent sub-quadratic time $frac{11}{2}$-factor approximation algorithm cite{bhore} for the MLDS problem is erroneous and propose a simple $O(n + m)$ time 7.31-factor approximation algorithm, where $n$ and $m$ are the number of vertices and edges in the input unit disk graph, respectively. Finally, we prove that the MLDS problem admits a polynomial-time approximation scheme.
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