{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:20:12Z","timestamp":1753885212918,"version":"3.41.2"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"DOI":"10.13039\/501100006733","name":"Commission on Higher Education","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100006733","id-type":"DOI","asserted-by":"crossref"}]},{"name":"MSU-Iligan Institute of Technology, Philippines"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2021,10]]},"abstract":"<jats:p> Let [Formula: see text] be a connected graph of order [Formula: see text]. A subset [Formula: see text] is a double hop dominating set (or a double [Formula: see text]-step dominating set) if [Formula: see text], where [Formula: see text], for each [Formula: see text]. The smallest cardinality of a double hop dominating set of [Formula: see text], denoted by [Formula: see text], is the double hop domination number of [Formula: see text]. In this paper, we investigate the concept of double hop dominating sets and study it for graphs resulting from some binary operations. <\/jats:p>","DOI":"10.1142\/s1793830921500579","type":"journal-article","created":{"date-parts":[[2020,11,8]],"date-time":"2020-11-08T15:19:25Z","timestamp":1604848765000},"source":"Crossref","is-referenced-by-count":1,"title":["Double hop dominating sets in graphs"],"prefix":"10.1142","volume":"13","author":[{"given":"Reynaldo V.","family":"Mollejon","sequence":"first","affiliation":[{"name":"Department of Teacher Education, Visayas State University-Villaba, VSU-Villaba, Villaba, Leyte 6537, Philippines"}]},{"suffix":"Jr.","given":"Sergio R.","family":"Canoy","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science and Mathematics, Center for Graph Theory, Algebra, and Analysis, Premier Research Institute in Science and Mathematics, MSU \u2014 Iligan Institute of Technology, Tibanga, Iligan City 9200, Philippines"}]}],"member":"219","published-online":{"date-parts":[[2020,12,17]]},"reference":[{"issue":"2","key":"S1793830921500579BIB001","first-page":"179","volume":"18","author":"Arriola S.","year":"2017","journal-title":"Adv. Appl. Discrete Math."},{"key":"S1793830921500579BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s12044-015-0251-6"},{"key":"S1793830921500579BIB003","doi-asserted-by":"publisher","DOI":"10.1002\/net.3230100304"},{"key":"S1793830921500579BIB004","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1256"},{"key":"S1793830921500579BIB005","first-page":"201","volume":"55","author":"Harary F.","year":"2000","journal-title":"Ars Combin."},{"volume-title":"Fundamentals of Domination in graphs","year":"1998","author":"Haynes T. W.","key":"S1793830921500579BIB006"},{"volume-title":"Domination in Graphs: Advanced Topics","year":"1998","author":"Haynes T. W.","key":"S1793830921500579BIB007"},{"key":"S1793830921500579BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s00373-017-1789-0"},{"key":"S1793830921500579BIB009","first-page":"223","volume":"72","author":"Lam P. C. B.","year":"2007","journal-title":"Util. Math."},{"issue":"2","key":"S1793830921500579BIB010","first-page":"187","volume":"23","author":"Natarajan C.","year":"2015","journal-title":"Versita"},{"issue":"5","key":"S1793830921500579BIB011","first-page":"1850075-1","volume":"11","author":"Pabilona Y.","year":"2016","journal-title":"Asian Eur. J. Math."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830921500579","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,14]],"date-time":"2021-10-14T03:58:50Z","timestamp":1634183930000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830921500579"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,12,17]]},"references-count":11,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2021,10]]}},"alternative-id":["10.1142\/S1793830921500579"],"URL":"https:\/\/doi.org\/10.1142\/s1793830921500579","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2020,12,17]]},"article-number":"2150057"}}