{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T06:47:08Z","timestamp":1773298028751,"version":"3.50.1"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","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":[[2024,12]]},"abstract":"<jats:p> Let [Formula: see text] be a graph. For any [Formula: see text], if there exists [Formula: see text] such that [Formula: see text], we say that [Formula: see text] resolving [Formula: see text]. A set [Formula: see text] of vertices in [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 study the relation between [Formula: see text] and [Formula: see text]. Furthermore, we construct a graph [Formula: see text] such that [Formula: see text] and [Formula: see text]. Finally, we investigate the local metric dimension of several special line graphs. <\/jats:p>","DOI":"10.1142\/s0219265923500263","type":"journal-article","created":{"date-parts":[[2023,10,31]],"date-time":"2023-10-31T06:31:19Z","timestamp":1698733879000},"source":"Crossref","is-referenced-by-count":3,"title":["On the Local Metric Dimension of Line Graphs"],"prefix":"10.1142","volume":"24","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. 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