Antimagic Behavior of S G p n and its Subdivision

A finite simple graph G with a subgraph H is called a super (b, d)-H-antimagic: if G has an edge covering by subgraphs H1,H2, . . . ,Ht with each Hi∼= H, i = 1, 2, . . . , t, a total labeling α such that wtαH, constitutes an arithmetic progression and α(V (G)) consists of the smallest possible integers. In this manuscript, we investigated the existence of super (b, 1)- star-antimagic labeling of Sun graphs S G p n