| dc.description.abstract | Generalized shackle of fan graph is the development of shackle operation of fan graph 𝑭𝒏 by connecting the some vertices
in shackle of fan graph. Graph G with the cardinality of vertex p and the cardinality of edges q is called an super (𝒂, 𝒅)−edge
antimagic total labelling if there exist a bijection 𝒇: 𝑽(𝑮) ∪ 𝑬(𝑮) → {𝟏, 𝟐, . . . , 𝒑+ 𝒒} such that the edge-weights, 𝒘(𝒙𝒚) =
𝒇(𝒙) +𝒇(𝒚)+ 𝒇(𝒙𝒚), 𝒙𝒚 ∈ 𝑬(𝑮), form an arithmetic sequence with first term a and common difference d. In this paper, we
use pattern recognition method and we analyze the super (a,d)-edge antimagic total labeling of some generalized shackle of fan
graph. The results show that Generalized Shackle of Fan Graph, GShackle(𝑭𝟒, 𝒗, 𝒏) and GShackle(𝑭𝟑, 𝒗, 𝒏) admit super (a,d)- edge
antimagic total labelling for 𝒅 ∈ {𝟎, 𝟏, 𝟐}. | en_US |
