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arXiv · 2006.15381

The Generalized Independent and Dominating Set Problems on Unit Disk Graphs

Sangram K. Jena·Ramesh K. Jallu·Gautam K. Das·Subhas C. Nandy
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Abstract

In this article, we study a generalized version of the maximum independent set and minimum dominating set problems, namely, the maximum $d$-distance independent set problem and the minimum $d$-distance dominating set problem on unit disk graphs for a positive integer $d>0$. We first show that the maximum $d$-distance independent set problem and the minimum $d$-distance dominating set problem belongs to NP-hard class. Next, we propose a simple polynomial-time constant-factor approximation algorithms and PTAS for both the problems.

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BibTeXRIS

Sangram K. Jena, Ramesh K. Jallu, Gautam K. Das, Subhas C. Nandy. 2020-06-27. The Generalized Independent and Dominating Set Problems on Unit Disk Graphs. https://arxiv.org/abs/2006.15381

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