{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:16:41Z","timestamp":1753885001343,"version":"3.41.2"},"reference-count":15,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"DOI":"10.13039\/501100001809","name":"National Science Foundation of China","doi-asserted-by":"crossref","award":["12061059"],"award-info":[{"award-number":["12061059"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"the Qinghai Key Laboratory of Internet of Things Project","award":["2017-ZJ-Y21"],"award-info":[{"award-number":["2017-ZJ-Y21"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2025,3]]},"abstract":"<jats:p> Let [Formula: see text] be a graph. A set [Formula: see text] is a local resolving set of [Formula: see text] if there exists [Formula: see text] such that [Formula: see text] for any [Formula: see text]. The local metric dimension [Formula: see text] of [Formula: see text] is the minimum cardinality of all the local resolving sets of [Formula: see text]. In this paper, we characterize the graphs with [Formula: see text]. Next, we obtain the Nordhaus\u2013Gaddum-type results for local metric dimension. Finally, the local metric dimension of several graph classes is given. <\/jats:p>","DOI":"10.1142\/s0219265923500330","type":"journal-article","created":{"date-parts":[[2024,1,10]],"date-time":"2024-01-10T03:26:40Z","timestamp":1704857200000},"source":"Crossref","is-referenced-by-count":2,"title":["On the Local Metric Dimension of Graphs"],"prefix":"10.1142","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2523-7090","authenticated-orcid":false,"given":"Chenxu","family":"Yang","sequence":"first","affiliation":[{"name":"School of Computer, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8423-6197","authenticated-orcid":false,"given":"Xingchao","family":"Deng","sequence":"additional","affiliation":[{"name":"School of Mathematical Science, Tianjin Normal University, Tianjin, 300387, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1162-425X","authenticated-orcid":false,"given":"Jinxia","family":"Liang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6353-075X","authenticated-orcid":false,"given":"Yuhu","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics, Southwest Jiaotong University, Chengdu 610031, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2024,1,10]]},"reference":[{"key":"S0219265923500330BIB001","first-page":"209","volume":"84","author":"Ba\u010da M.","year":"2011","journal-title":"Util. Math."},{"key":"S0219265923500330BIB002","doi-asserted-by":"publisher","DOI":"10.1201\/b19731"},{"key":"S0219265923500330BIB003","first-page":"193","volume":"83","author":"Eroh L.","year":"2012","journal-title":"J. Combin. Math.Combin. Comput."},{"key":"S0219265923500330BIB004","doi-asserted-by":"publisher","DOI":"10.19184\/ijc.2022.6.1.3"},{"key":"S0219265923500330BIB005","first-page":"191","volume":"2","author":"Harary F.","year":"1976","journal-title":"Ars Combin."},{"key":"S0219265923500330BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejc.2013.04.009"},{"key":"S0219265923500330BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2021.07.002"},{"key":"S0219265923500330BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(95)00106-2"},{"key":"S0219265923500330BIB009","doi-asserted-by":"publisher","DOI":"10.3390\/math6110243"},{"key":"S0219265923500330BIB010","doi-asserted-by":"publisher","DOI":"10.21136\/MB.2010.140702"},{"key":"S0219265923500330BIB011","doi-asserted-by":"crossref","unstructured":"M. Syslo and  A. Proskurowski,  On Halin graphs. In  Graph Theory: Lecture Notes in Mathematics  (Springer,  New York, NY, USA,  1983),  pp. 248\u2013256.","DOI":"10.1007\/BFb0071635"},{"key":"S0219265923500330BIB012","doi-asserted-by":"publisher","DOI":"10.12785\/amis\/090109"},{"key":"S0219265923500330BIB013","first-page":"2350026","author":"Yang C.","year":"2023","journal-title":"J. Inter. Netw."},{"key":"S0219265923500330BIB014","doi-asserted-by":"publisher","DOI":"10.1142\/S1793830921500592"},{"key":"S0219265923500330BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/s10114-013-2365-z"}],"container-title":["Journal of Interconnection Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219265923500330","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,6]],"date-time":"2025-02-06T02:13:04Z","timestamp":1738807984000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0219265923500330"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,10]]},"references-count":15,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2025,3]]}},"alternative-id":["10.1142\/S0219265923500330"],"URL":"https:\/\/doi.org\/10.1142\/s0219265923500330","relation":{},"ISSN":["0219-2659","1793-6713"],"issn-type":[{"type":"print","value":"0219-2659"},{"type":"electronic","value":"1793-6713"}],"subject":[],"published":{"date-parts":[[2024,1,10]]},"article-number":"2350033"}}