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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제34권 제3호
- 발행연도
- 2016.1
- 수록면
- 227 - 237 (11page)
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In this paper we introduce a new graph labeling called k-prime cordial labeling. Let G be a (p, q) graph and 2 ≤ p ≤ k. 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 a k-prime cordial labeling of G if |v<sub>f</sub> (i) ？ v<sub>f</sub> (j)| ≤ 1, i, j ∈ {1, 2, . . . , k} and |e<sub>f</sub> (0) ？ e<sub>f</sub> (1)| ≤ 1 where v<sub>f</sub> (x) denotes the number of vertices labeled with x, e<sub>f</sub> (1) and e<sub>f</sub> (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 the k-prime cordial labeling behavior of a star and we have proved that every graph is a subgraph of a k-prime cordial graph. Also we investigate the 3-prime cordial labeling behavior of path, cycle, complete graph, wheel, comb and some more standard graphs.
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