eprintid: 4060 rev_number: 14 eprint_status: archive userid: 365 dir: disk0/00/00/40/60 datestamp: 2020-09-14 02:52:10 lastmod: 2020-09-14 02:52:41 status_changed: 2020-09-14 02:52:10 type: article metadata_visibility: show creators_name: Nguyen, Minh Hai creators_name: Ha, Minh Hoang creators_name: Nguyen N, Diep creators_name: Tran, The Trung creators_id: minhhoang.ha@vnu.edu.vn creators_id: Diep.Nguyen@uts.edu.au creators_id: trung@fpt.edu.vn title: Solving the k-dominating set problem on very large-scale networks ispublished: pub subjects: IT subjects: Scopus subjects: isi divisions: fac_fit abstract: The well-known minimum dominating set problem (MDSP) aims to construct the minimum-size subset of vertices in a graph such that every other vertex has at least one neighbor in the subset. In this article, we study a general version of the problem that extends the neighborhood relationship: two vertices are called neighbors of each other if there exists a path through no more than k edges between them. The problem called “minimum k-dominating set problem” (MkDSP) becomes the classical dominating set problem if k is 1 and has important applications in monitoring large-scale social networks. We propose an efficient heuristic algorithm that can handle real-world instances with up to 17 million vertices and 33 million edges. This is the first time such large graphs are solved for the minimum k-dominating set problem date: 2020 date_type: published publisher: Springer full_text_status: public publication: Computational Social Networks number: 7 refereed: TRUE citation: Nguyen, Minh Hai and Ha, Minh Hoang and Nguyen N, Diep and Tran, The Trung (2020) Solving the k-dominating set problem on very large-scale networks. Computational Social Networks (7). document_url: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/4060/1/10.1186/s40649-020-00078-5