{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:09:15Z","timestamp":1753880955893,"version":"3.41.2"},"reference-count":6,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","funder":[{"name":"LP2M University of Jember","award":["6342\/UN25.3.1\/LT\/2022"],"award-info":[{"award-number":["6342\/UN25.3.1\/LT\/2022"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2024,10]]},"abstract":"<jats:p> The graphs used in this paper are simple, connected and finite graph. A graceful [Formula: see text]-coloring of a graph [Formula: see text] is a proper vertex coloring [Formula: see text], where [Formula: see text] which induces a proper edge coloring [Formula: see text] that defined by [Formula: see text]. Proper vertex coloring [Formula: see text] of a graph [Formula: see text] is a graceful coloring if [Formula: see text] is a graceful m-coloring for [Formula: see text]. The minimum vertex coloring, that can apply such that a graph [Formula: see text] can be colored with graceful coloring, is called a graceful chromatic number and it is denoted by [Formula: see text]. In this paper, we will investigate the graceful chromatic number of generalized Petersen graph [Formula: see text] for [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830923500970","type":"journal-article","created":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T04:46:36Z","timestamp":1698554796000},"source":"Crossref","is-referenced-by-count":0,"title":["On graceful coloring of generalized Petersen graphs"],"prefix":"10.1142","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6556-6377","authenticated-orcid":false,"given":"A. I.","family":"Kristiana","sequence":"first","affiliation":[{"name":"Department of Mathematics Education, University of Jember, 68323 Jember, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.","family":"Setyawan","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, University of Jember, 68323 Jember, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E. R.","family":"Albirri","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, University of Jember, 68323 Jember, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6611-6458","authenticated-orcid":false,"given":"R. M.","family":"Prihandini","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, University of Jember, 68323 Jember, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3011-4917","authenticated-orcid":false,"given":"R.","family":"Alfarisi","sequence":"additional","affiliation":[{"name":"Department of Elementary School Teacher Education, University of Jember, 68323 Jember, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,12,12]]},"reference":[{"key":"S1793830923500970BIB001","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/1306\/1\/012039"},{"key":"S1793830923500970BIB002","doi-asserted-by":"publisher","DOI":"10.21136\/MB.2017.0035-15"},{"key":"S1793830923500970BIB003","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/1836\/1\/012027"},{"first-page":"109","volume-title":"Proc.\u00a0\u2014 21st Int. Symp. Symbolic and Numeric Algorithms for Scientific Computing SYNASC","author":"Mincu R.","key":"S1793830923500970BIB004"},{"issue":"2","key":"S1793830923500970BIB005","first-page":"27","volume":"1","author":"Sania N. A.","year":"2020","journal-title":"Saintifika"},{"key":"S1793830923500970BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-30518-9"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830923500970","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,30]],"date-time":"2024-09-30T08:37:00Z","timestamp":1727685420000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1793830923500970"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,12]]},"references-count":6,"journal-issue":{"issue":"07","published-print":{"date-parts":[[2024,10]]}},"alternative-id":["10.1142\/S1793830923500970"],"URL":"https:\/\/doi.org\/10.1142\/s1793830923500970","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2023,12,12]]},"article-number":"2350097"}}