{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:29:05Z","timestamp":1753882145570,"version":"3.41.2"},"reference-count":8,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2023,7]]},"abstract":"<jats:p> In this paper, we introduced the new concept detour global domination number for splitting graph of standard graph. The detour global dominating sets in some standard and special graphs are determined. First we recollect the concept of splitting graph of a graph and we produce some results based on the detour global domination number of splitting graph of star graph, bistar graph and complete bipartite graph. A set [Formula: see text] is called a detour global dominating set of [Formula: see text] if [Formula: see text] is both detour and global dominating set of [Formula: see text]. The detour global domination number is the minimum cardinality of a detour global dominating set in [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830922501221","type":"journal-article","created":{"date-parts":[[2022,6,14]],"date-time":"2022-06-14T07:37:25Z","timestamp":1655192245000},"source":"Crossref","is-referenced-by-count":0,"title":["Detour global domination for splitting graph"],"prefix":"10.1142","volume":"15","author":[{"given":"C.","family":"Jayasekaran","sequence":"first","affiliation":[{"name":"Department of Mathematics, Pioneer Kumaraswamy College, Nagercoil 629003, Tamil Nadu, India"}]},{"given":"S. V.","family":"Ashwin Prakash","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pioneer Kumaraswamy College, Nagercoil 629003, Tamil Nadu, India"},{"name":"Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli 627012, Tamil Nadu, India"}]}],"member":"219","published-online":{"date-parts":[[2022,7,30]]},"reference":[{"volume-title":"Distance in Graphs","year":"1990","author":"Buckley F.","key":"S1793830922501221BIB001"},{"key":"S1793830922501221BIB002","first-page":"97","volume":"64","author":"Chartrand G.","year":"2003","journal-title":"Util. Math."},{"volume-title":"Fundamentals of Domination in Graphs","year":"1998","author":"Haynes T. W.","key":"S1793830922501221BIB003"},{"issue":"1","key":"S1793830922501221BIB004","doi-asserted-by":"crossref","first-page":"552","DOI":"10.26637\/MJM0S20\/0105","author":"Jayasekaran C.","year":"2020","journal-title":"Malaya J. Matematik"},{"issue":"4","key":"S1793830922501221BIB005","doi-asserted-by":"crossref","first-page":"2050043","DOI":"10.1142\/S1793830920500433","volume":"12","author":"Lenin Xaviour X.","year":"2020","journal-title":"Discrete Math. Algorithms Appl."},{"issue":"5","key":"S1793830922501221BIB006","first-page":"377","volume":"23","author":"Sampath Kumar E.","year":"1989","journal-title":"J. Math. Phys. Sci."},{"key":"S1793830922501221BIB007","first-page":"13","volume":"25","author":"Sampath Kumar E.","year":"1980","journal-title":"Karnataka Univ. J."},{"key":"S1793830922501221BIB008","volume-title":"Introduction to Graph Theory","author":"West D. B.","year":"2001","edition":"2"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830922501221","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,23]],"date-time":"2023-05-23T03:19:50Z","timestamp":1684811990000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1793830922501221"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,30]]},"references-count":8,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2023,7]]}},"alternative-id":["10.1142\/S1793830922501221"],"URL":"https:\/\/doi.org\/10.1142\/s1793830922501221","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2022,7,30]]},"article-number":"2250122"}}