{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T06:43:49Z","timestamp":1740120229408,"version":"3.37.3"},"reference-count":8,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2019,6]]},"abstract":"<jats:p> We consider V, E are respectively vertex and edge sets of a simple, nontrivial and connected graph G. For an ordered set W = {w<jats:sub>1<\/jats:sub>, w<jats:sub>2<\/jats:sub>, w<jats:sub>3<\/jats:sub>, \u2026, w<jats:sub>k<\/jats:sub>} of vertices and a vertex v \u2208 G, the ordered r(v|W) = (d(v, w<jats:sub>1<\/jats:sub>), d(v, w<jats:sub>2<\/jats:sub>), \u2026, d(v, w<jats:sub>k<\/jats:sub>)) of k-vector is representations of v with respect to W, where d(v, w) is the distance between the vertices v and w. The set W is called a resolving set for G if distinct vertices of G have distinct representations with respect to W. The metric dimension, denoted by dim(G) is min of |W|. Furthermore, the resolving set W of graph G is called non-isolated resolving set if there is no \u2200v \u2208 W induced by non-isolated vertex. While a non-isolated resolving number, denoted by nr(G), is the minimum cardinality of non-isolated resolving set in graph. In this paper, we study the non isolated resolving number of graph with any pendant edges. <\/jats:p>","DOI":"10.1142\/s0219265919500038","type":"journal-article","created":{"date-parts":[[2019,7,16]],"date-time":"2019-07-16T05:53:41Z","timestamp":1563256421000},"page":"1950003","source":"Crossref","is-referenced-by-count":1,"title":["Non-Isolated Resolving Number of Graph with Pendant Edges"],"prefix":"10.1142","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3011-4917","authenticated-orcid":false,"given":"RIDHO","family":"ALFARISI","sequence":"first","affiliation":[{"name":"Department of Elementary School Teacher Education, University of Jember, Jember, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"DAFIK","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, University of Jember, Jember, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ARIKA INDAH","family":"KRISTIANA","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, University of Jember, Jember, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"IKA HESTI","family":"AGUSTIN","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Jember, Jember, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,7,16]]},"reference":[{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/j.procs.2015.12.072"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1177"},{"issue":"102","key":"p_9","first-page":"15","volume":"54","author":"Baca M.","year":"2011","journal-title":"Bull. Math. Soc. Sci. Math. Roumanie, Tome"},{"key":"p_10","first-page":"155","volume":"52","author":"Iswadi H.","year":"2011","journal-title":"Far East Journal of Mathematical Sciences (FJMS)"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.22342\/jims.18.2.114.85-92"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.17654\/MS102102473"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1063\/1.5054416"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/1008\/1\/012040"}],"container-title":["Journal of Interconnection Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219265919500038","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,16]],"date-time":"2019-07-16T05:53:54Z","timestamp":1563256434000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219265919500038"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6]]},"references-count":8,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2019,7,16]]},"published-print":{"date-parts":[[2019,6]]}},"alternative-id":["10.1142\/S0219265919500038"],"URL":"https:\/\/doi.org\/10.1142\/s0219265919500038","relation":{},"ISSN":["0219-2659","1793-6713"],"issn-type":[{"type":"print","value":"0219-2659"},{"type":"electronic","value":"1793-6713"}],"subject":[],"published":{"date-parts":[[2019,6]]}}}