Super H-Antimagic Total Covering for Generalized Antiprism and Toroidal Octagonal Map

Amir Taimur, Gohar Ali, Muhammad Numan, Adnan Aslam, Kraidi Anoh Yannick and Ali Ahmad

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9680137

DOI: 10.1155/2021/9680137

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