{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T09:01:52Z","timestamp":1777366912603,"version":"3.51.4"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2020,4]]},"abstract":"<jats:p> Let [Formula: see text] be a graph. A proper [Formula: see text]-coloring of graph [Formula: see text] is [Formula: see text]-dynamic coloring if for every [Formula: see text], the neighbors of vertex [Formula: see text] receive at least min[Formula: see text] different colors. The minimum [Formula: see text] such that graph [Formula: see text] has [Formula: see text]-dynamic [Formula: see text] coloring is called the [Formula: see text]-dynamic chromatic number, denoted by [Formula: see text]. In this paper, we study the [Formula: see text]-dynamic coloring of corona product of graph. The corona product of graph is obtained by taking a number of vertices [Formula: see text] copy of [Formula: see text], and making the [Formula: see text]th of [Formula: see text] adjacent to every vertex of the [Formula: see text]th copy of [Formula: see text]. We obtain the lower bound of [Formula: see text]-dynamic chromatic number of corona product of graphs and some exact value. <\/jats:p>","DOI":"10.1142\/s1793830920500196","type":"journal-article","created":{"date-parts":[[2019,12,5]],"date-time":"2019-12-05T03:57:25Z","timestamp":1575518245000},"page":"2050019","source":"Crossref","is-referenced-by-count":7,"title":["r-Dynamic coloring of the corona product of graphs"],"prefix":"10.1142","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6556-6377","authenticated-orcid":false,"given":"Arika Indah","family":"Kristiana","sequence":"first","affiliation":[{"name":"Department of Mathematics Education, University of Jember, Jember, East Java, Indonesia"}]},{"given":"M. Imam","family":"Utoyo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University Airlangga, Surabaya, East Java, Indonesia"}]},{"given":"Ridho","family":"Alfarisi","sequence":"additional","affiliation":[{"name":"Department of Primary School, University of Jember, Jember, East Java, Indonesia"}]},{"family":"Dafik","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, University of Jember, Jember, East Java, Indonesia"}]}],"member":"219","published-online":{"date-parts":[[2020,1,21]]},"reference":[{"key":"S1793830920500196BIB001","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/531\/10454"},{"key":"S1793830920500196BIB002","first-page":"161","volume":"114","author":"Akbari S.","year":"2014","journal-title":"Ars Combin."},{"key":"S1793830920500196BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2010.10.012"},{"key":"S1793830920500196BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2012.05.017"},{"key":"S1793830920500196BIB005","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/855\/1\/012011"},{"key":"S1793830920500196BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2016.01.016"},{"key":"S1793830920500196BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2015.01.020"},{"key":"S1793830920500196BIB008","doi-asserted-by":"publisher","DOI":"10.22161\/ijaers.4.4.13"},{"key":"S1793830920500196BIB009","first-page":"020054","volume":"2014","author":"Kristiana A. 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