{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T00:24:33Z","timestamp":1720657473754},"reference-count":0,"publisher":"Combinatorial Press","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ars Comb."],"published-print":{"date-parts":[[2024,6,30]]},"abstract":"<jats:p>Let \\(G\\) be a \\((p, q)\\) graph. Let \\(f: V(G) \\to \\{1, 2, \\ldots, k\\}\\) be a map where \\(k \\in \\mathbb{N}\\) is a variable and \\(k &gt; 1\\). For each edge \\(uv\\), assign the label \\(\\gcd(f(u), f(v))\\). \\(f\\) is called \\(k\\)-Total prime cordial labeling of \\(G\\) if \\(\\left|t_{f}(i) \u2013 t_{f}(j)\\right| \\leq 1\\), \\(i, j \\in \\{1, 2, \\ldots, k\\}\\) where \\(t_{f}(x)\\) denotes the total number of vertices and edges labeled with \\(x\\). A graph with a \\(k\\)-total prime cordial labeling is called \\(k\\)-total prime cordial graph. In this paper, we investigate the 4-total prime cordial labeling of some graphs like dragon, M\u00f6bius ladder, and corona of some graphs.<\/jats:p>","DOI":"10.61091\/ars159-04","type":"journal-article","created":{"date-parts":[[2024,7,10]],"date-time":"2024-07-10T04:53:12Z","timestamp":1720587192000},"page":"31-40","source":"Crossref","is-referenced-by-count":0,"title":["\\(4\\)-Total Prime Cordial Labeling of Some Derived Graphs"],"prefix":"10.61091","volume":"159","author":[{"given":"R.","family":"Ponraj","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"Department of Mathematics, Sri Paramakalyani College, Alwarkurichi-627412,Tamilnadu, India","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Maruthamani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"Department of Mathematics, Sri Paramakalyani College, Alwarkurichi-627412,Tamilnadu, India","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"39747","published-online":{"date-parts":[[2024,6,30]]},"container-title":["Ars Combinatoria"],"original-title":[],"deposited":{"date-parts":[[2024,7,10]],"date-time":"2024-07-10T04:53:20Z","timestamp":1720587200000},"score":1,"resource":{"primary":{"URL":"https:\/\/combinatorialpress.com\/ars-articles\/volume-159\/4-total-prime-cordial-labeling-of-some-derived-graphs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6,30]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,6,30]]},"published-print":{"date-parts":[[2024,6,30]]}},"URL":"https:\/\/doi.org\/10.61091\/ars159-04","relation":{},"ISSN":["0381-7032","2817-5204"],"issn-type":[{"value":"0381-7032","type":"print"},{"value":"2817-5204","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,6,30]]}}}