On super (a, d)-eat valuation of subdivided caterpillar
Künye
Raheem, A., Javaid, M., Umar, M. A. & Lau, G. C. (2019). On super (a, d)-eat valuation of subdivided caterpillar. TWMS Journal of Applied and Engineering Mathematics, 9(4), 693-703.Özet
Let G = (V (G), E(G)) be a graph with v = |V (G)| vertices and e = |E(G)| edges. A bijective function λ : V (G) ∪ E(G) ↔ {1, 2, . . . , v + e} is called an (a, d)- edge antimagic total (EAT) labeling(valuation) if the weight of all the edges {w(xy) : xy ∈ E(G)} form an arithmetic sequence starting with first term a and having common difference d, where w(xy) = λ(x) + λ(y) + λ(xy). And, if λ(V ) = {1, 2, . . . , v} then G is super (a, d)-edge antimagic total(EAT) graph. In this paper, we determine the süper (a,d)-edge antimagic total (EAT) labeling of the subdivided caterpillar for different values of the parameter d.
Kaynak
TWMS Journal of Applied and Engineering MathematicsCilt
9Sayı
4Bağlantı
https://hdl.handle.net/11729/2761http://jaem.isikun.edu.tr/web/index.php/archive/103-vol9no4/457
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