{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T12:31:01Z","timestamp":1771677061268,"version":"3.50.1"},"reference-count":10,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2021,6]]},"abstract":"<jats:p> All graphs in this paper are undirected and connected graphs. An ordered k-partition set [Formula: see text] where [Formula: see text], the representation of a vertex [Formula: see text] of [Formula: see text] with respect to [Formula: see text] is [Formula: see text] where [Formula: see text] is the distance between the vertex v and the set [Formula: see text] with [Formula: see text] for [Formula: see text]. The partition set [Formula: see text] is a local resolving partition of [Formula: see text] if [Formula: see text] for [Formula: see text] adjacent to [Formula: see text] of [Formula: see text]. The minimum local resolving partition [Formula: see text] is a local partition dimension of [Formula: see text], denoted by [Formula: see text]. In our paper, we found the sharp bounds of the local partition dimension of [Formula: see text] and determine the exact value of some special graph. <\/jats:p>","DOI":"10.1142\/s1793830921500282","type":"journal-article","created":{"date-parts":[[2020,9,19]],"date-time":"2020-09-19T04:08:30Z","timestamp":1600488510000},"page":"2150028","source":"Crossref","is-referenced-by-count":5,"title":["The local partition dimension of graphs"],"prefix":"10.1142","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3011-4917","authenticated-orcid":false,"given":"Ridho","family":"Alfarisi","sequence":"first","affiliation":[{"name":"Department of Primary School, University of Jember, Indonesia"}]},{"given":"Arika Indah","family":"Kristiana","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, University of Jember, Indonesia"}]},{"family":"Dafik","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, University of Jember, Indonesia"}]}],"member":"219","published-online":{"date-parts":[[2020,11,7]]},"reference":[{"key":"S1793830921500282BIB001","doi-asserted-by":"publisher","DOI":"10.1063\/1.4994419"},{"issue":"1","key":"S1793830921500282BIB002","first-page":"1","volume":"855","author":"Alfarisi R.","year":"2017","journal-title":"J. Phys. Conf. Ser."},{"key":"S1793830921500282BIB003","volume-title":"Graphs and Digraphs","author":"Chartrand G.","year":"2000","edition":"3"},{"key":"S1793830921500282BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/PL00000127"},{"key":"S1793830921500282BIB005","volume-title":"AIP Conf. Proc.","volume":"1867","author":"Darmaji D.","year":"2017"},{"issue":"64","key":"S1793830921500282BIB006","first-page":"43","volume":"14","author":"Ghemeci R. M.","year":"2014","journal-title":"Math. Reports"},{"issue":"101","key":"S1793830921500282BIB007","first-page":"261","volume":"53","author":"Ghemeci R. M.","year":"2010","journal-title":"Bull. Math. Soc. Sci. Math. Roumanie Tome"},{"key":"S1793830921500282BIB008","volume-title":"Handbook of graph Theory","author":"Gross J. L.","year":"2014","edition":"2"},{"key":"S1793830921500282BIB009","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1177"},{"key":"S1793830921500282BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(02)00577-7"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830921500282","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T07:27:30Z","timestamp":1619594850000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830921500282"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,7]]},"references-count":10,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["10.1142\/S1793830921500282"],"URL":"https:\/\/doi.org\/10.1142\/s1793830921500282","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,11,7]]}}}