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4-Prime cordiality of some classes of graphs | ||
Journal of Algorithms and Computation | ||
مقاله 5، دوره 48، شماره 1، اسفند 2016، صفحه 69-79 اصل مقاله (743.63 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22059/jac.2016.7941 | ||
نویسندگان | ||
R. Ponraj* 1؛ Rajpal Singh2؛ S. Sathish Narayanan1؛ A. M. S. Ramasamy3 | ||
1Department of Mathematics, Sri Paramakalyani College,Alwarkurichi-627 412, India | ||
2Research Scholar, Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli-627012, India | ||
3Department of Mathematics, Vel Tech Dr.R.R & Dr.S.R Technical University, Chennai-600002, India | ||
چکیده | ||
Let G be a (p, q) graph. Let f : V (G) → {1, 2, . . . , k} be a map. For each edge uv, assign the label gcd (f(u), f(v)). f is called k-prime cordial labeling of G if |vf (i) − vf (j)| ≤ 1, i, j ∈ {1, 2, . . . , k} and |ef (0) − ef (1)| ≤ 1 where vf (x) denotes the number of vertices labeled with x, ef (1) and ef (0) respectively denote the number of edges labeled with 1 and not labeled with 1. A graph with a k-prime cordial labeling is called a k-prime cordial graph. In this paper we investigate 4- prime cordial labeling behavior of complete graph, book, flower, mCn and some more graphs. | ||
کلیدواژهها | ||
complete graph؛ Wheel؛ Path؛ book؛ flower | ||
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