eprintid: 3673 rev_number: 9 eprint_status: archive userid: 365 dir: disk0/00/00/36/73 datestamp: 2019-11-29 03:37:33 lastmod: 2019-11-29 05:53:49 status_changed: 2019-11-29 03:37:33 type: conference_item metadata_visibility: show creators_name: Nguyen, Minh Hai creators_name: Ha, Minh Hoang creators_name: Dinh, Thai Hoang creators_name: Diep, Nguyen creators_name: Dutkiewicz, Eryk creators_name: Tran, The Trung creators_id: minhhoang.ha@vnu.edu.vn title: An Efficient Algorithm for the k-Dominating Set Problem on Very Large-Scale Networks ispublished: pub subjects: IT divisions: fac_fit abstract: 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 date_type: published full_text_status: public pres_type: paper event_title: CSoNet 2019 event_location: Ho Chi Minh event_type: conference refereed: TRUE citation: 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. document_url: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/3673/1/_k__Dominating_Set_Problem_on_massive_graphs.pdf