4-prime cordiality of some classes of graphs

نویسندگان

r. ponraj

department of mathematics, sri paramakalyani college,alwarkurichi-627 412, india rajpal singh

research scholar, department of mathematics, manonmaniam sundaranar university, tirunelveli-627012, india s. sathish narayanan

department of mathematics, sri paramakalyani college,alwarkurichi-627 412, india a. m. s. ramasamy

department 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.

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4-Prime cordiality of some classes of graphs

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عنوان ژورنال:
journal of algorithms and computation

جلد ۴۸، شماره ۱، صفحات ۶۹-۷۹

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