{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T21:45:21Z","timestamp":1761515121574,"version":"3.41.2"},"reference-count":27,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2025,9]]},"abstract":"<jats:p> Let [Formula: see text] be an undirected, planar, non-trivial, connected, and simple graph, where the sets [Formula: see text] and [Formula: see text] are respectively the vertex and edge sets for [Formula: see text]. The cardinalities of the sets [Formula: see text] and [Formula: see text] (i.e., [Formula: see text] and [Formula: see text]) are referred to be the size and order of [Formula: see text]. A subset [Formula: see text] (ordered vertices) of [Formula: see text] is termed as a resolving set [edge resolving set (ERS)] for [Formula: see text] if for every two distinct vertices [Formula: see text] [edges [Formula: see text]], there is a vertex [Formula: see text] such that [Formula: see text] [[Formula: see text]]. A resolving set (ERS) consisting of the minimum number of vertices is called the metric basis [edge metric basis (EMB)] for [Formula: see text] and the cardinality of metric basis (EMB) set is its metric dimension (edge metric dimension), represented by [Formula: see text] [[Formula: see text]]. In this paper, we initiate the study of edge and vertex resolvability parameters for a novel class of planar graphs. Further, we will show that the planar graph possesses an independent minimum vertex and the edge resolving sets having cardinality 3 or 4. <\/jats:p>","DOI":"10.1142\/s0219265924500166","type":"journal-article","created":{"date-parts":[[2024,8,23]],"date-time":"2024-08-23T03:12:38Z","timestamp":1724382758000},"source":"Crossref","is-referenced-by-count":1,"title":["Computing Some Resolvability Parameters for Two-Fold Circular Ladder"],"prefix":"10.1142","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9376-252X","authenticated-orcid":false,"given":"Sunny Kumar","family":"Sharma","sequence":"first","affiliation":[{"name":"Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, Karnataka, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8423-9067","authenticated-orcid":false,"given":"Vijay Kumar","family":"Bhat","sequence":"additional","affiliation":[{"name":"School of Mathematics, Shri Mata Vaishno Devi University, Katra 182320, Jammu and Kashmir, India"}]}],"member":"219","published-online":{"date-parts":[[2024,8,22]]},"reference":[{"key":"S0219265924500166BIB001","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/bdq096"},{"issue":"4","key":"S0219265924500166BIB002","first-page":"97","volume":"13","author":"Bailey R. 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