Super H -Antimagic Total Covering for Generalized Antiprism and Toroidal Octagonal Map
Amir Taimur, Gohar Ali, Muhammad Numan, Adnan Aslam, Kraidi Anoh Yannick · Journal of Mathematics · 2021
Let G be a graph and H⊆G be subgraph of G . The graph G is said to be a,d - H antimagic total graph if there exists a bijective function f:VH∪EH⟶1,2,3,…,VH+EH such that, for all subgraphs isomorphic to H , the total H weights WH=WH=∑x∈VHfx+∑y∈EHfy forms an arithmetic sequence a,a+d,a+2d,…,a+n−1d , where a and d are positive integers and n is the number of subgraphs isomorphic to H . An a,d - H antimagic total labeling f is said to be super if the vertex labels are from the set 1,2,…,|VG . In this paper, we discuss super a,d - C3 -antimagic total labeling for generalized antiprism and a super a,d - C8 -antimagic total labeling for toroidal octagonal map.