relation: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/3673/ title: An Efficient Algorithm for the k-Dominating Set Problem on Very Large-Scale Networks creator: Nguyen, Minh Hai creator: Ha, Minh Hoang creator: Dinh, Thai Hoang creator: Diep, Nguyen creator: Dutkiewicz, Eryk creator: Tran, The Trung subject: Information Technology (IT) description: The minimum dominating set problem (MDSP) aims to construct the minimum-size subset D⊂V of a graph G=(V,E) such that every vertex has at least one neighbor in D. The problem is proved to be NP-hard [5]. In a recent industrial application, we encountered a more general variant of MDSP that extends the neighborhood relationship as follows: a vertex is a k-neighbor of another if there exists a linking path through no more than k edges between them. This problem is called the minimum k-dominating set problem (MkDSP) and the dominating set is denoted as D_k. The MkDSP can be used to model applications in social networks [2] and design of wireless sensor networks [3]. In our case, a telecommunication company uses the problem model to supervise a large social network up to 17 millions nodes via a dominating subset in which k is set to 3. date: 2019 type: Conference or Workshop Item type: PeerReviewed format: application/pdf language: en identifier: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/3673/1/_k__Dominating_Set_Problem_on_massive_graphs.pdf identifier: Nguyen, Minh Hai and Ha, Minh Hoang and Dinh, Thai Hoang and Diep, Nguyen and Dutkiewicz, Eryk and Tran, The Trung (2019) An Efficient Algorithm for the k-Dominating Set Problem on Very Large-Scale Networks. In: CSoNet 2019, Ho Chi Minh.