{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,3]],"date-time":"2026-01-03T06:44:44Z","timestamp":1767422684404,"version":"3.41.2"},"reference-count":24,"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":[[2025,4]]},"abstract":"<jats:p> The concept of [Formula: see text]-dynamic [Formula: see text]-coloring of a graph [Formula: see text] refers to a proper vertex [Formula: see text]-coloring where the number of colors assigned to the vertices in the neighborhood of each vertex [Formula: see text] is greater than or equal to the min [Formula: see text]. This study focuses on the [Formula: see text]-dynamic coloring of various types of ladder graphs, which are derived from the Cartesian product of [Formula: see text] and [Formula: see text], including the Diagonal Ladder Graph, Open Diagonal Ladder Graph, Triangular Ladder Graph, Open Triangular Ladder Graph and Slanting Ladder Graph. <\/jats:p>","DOI":"10.1142\/s1793830924500356","type":"journal-article","created":{"date-parts":[[2024,4,4]],"date-time":"2024-04-04T09:06:34Z","timestamp":1712221594000},"source":"Crossref","is-referenced-by-count":1,"title":["On r-dynamic k-coloring of ladder graph families"],"prefix":"10.1142","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-8147-9263","authenticated-orcid":false,"given":"A.","family":"Irin Feno","sequence":"first","affiliation":[{"name":"Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5051-4104","authenticated-orcid":false,"given":"M.","family":"Venkatachalam","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2659-7568","authenticated-orcid":false,"given":"Laxmi","family":"Rathour","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl 796 012, Mizoram, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0700-5774","authenticated-orcid":false,"given":"I. N.","family":"Cangul","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bursa Uluda\u011f University, 16059 Bursa, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-3735-6506","authenticated-orcid":false,"given":"K.","family":"Abirami","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,4,30]]},"reference":[{"key":"S1793830924500356BIB001","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/531\/10454"},{"key":"S1793830924500356BIB002","first-page":"161","volume":"114","author":"Akbari S.","year":"2014","journal-title":"Ars Combin."},{"key":"S1793830924500356BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-16-6018-4_15"},{"key":"S1793830924500356BIB004","first-page":"306","volume":"48","author":"Aparna V.","year":"2022","journal-title":"Neutrosophic Sets Syst."},{"key":"S1793830924500356BIB005","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/855\/1\/012011"},{"key":"S1793830924500356BIB006","doi-asserted-by":"publisher","DOI":"10.1142\/S1793557122501029"},{"key":"S1793830924500356BIB007","doi-asserted-by":"publisher","DOI":"10.3390\/math10122018"},{"key":"S1793830924500356BIB008","doi-asserted-by":"publisher","DOI":"10.2478\/auom-2021-0039"},{"key":"S1793830924500356BIB009","doi-asserted-by":"publisher","DOI":"10.1142\/S1793830921501214"},{"key":"S1793830924500356BIB010","doi-asserted-by":"publisher","DOI":"10.21236\/AD0705364"},{"key":"S1793830924500356BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(02)00685-4"},{"key":"S1793830924500356BIB012","doi-asserted-by":"publisher","DOI":"10.1155\/2022\/7603023"},{"key":"S1793830924500356BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2016.01.016"},{"key":"S1793830924500356BIB014","doi-asserted-by":"publisher","DOI":"10.1080\/16583655.2020.1713586"},{"key":"S1793830924500356BIB015","doi-asserted-by":"publisher","DOI":"10.24018\/ejedu.2022.3.4.381"},{"key":"S1793830924500356BIB016","doi-asserted-by":"publisher","DOI":"10.1142\/S1793830920500196"},{"key":"S1793830924500356BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2006.03.052"},{"key":"S1793830924500356BIB018","first-page":"193","volume":"68","author":"Lai H. J.","year":"2003","journal-title":"Ars Combin."},{"key":"S1793830924500356BIB019","doi-asserted-by":"publisher","DOI":"10.1007\/s40065-018-0219-3"},{"key":"S1793830924500356BIB020","doi-asserted-by":"publisher","DOI":"10.1142\/S1793830912500024"},{"key":"S1793830924500356BIB022","first-page":"11","volume":"10","author":"Nandini G.","year":"2022","journal-title":"Palest. J. Math."},{"issue":"1","key":"S1793830924500356BIB023","first-page":"23","volume":"26","author":"Nandini G.","year":"2023","journal-title":"Proc. Jangjeon Math. Soc."},{"issue":"2","key":"S1793830924500356BIB024","first-page":"829","volume":"28","author":"Nizami A. R.","year":"2016","journal-title":"Sci. Int. (Lahore)"},{"issue":"12","key":"S1793830924500356BIB025","first-page":"38","volume":"7","author":"Sumathi P.","year":"2018","journal-title":"Amer. J. Eng. Res."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830924500356","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,14]],"date-time":"2025-04-14T01:58:10Z","timestamp":1744595890000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1793830924500356"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,30]]},"references-count":24,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2025,4]]}},"alternative-id":["10.1142\/S1793830924500356"],"URL":"https:\/\/doi.org\/10.1142\/s1793830924500356","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2024,4,30]]},"article-number":"2450035"}}