Super H-Antimagic Total Covering for Generalized Antiprism and Toroidal Octagonal Map
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...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9680137 |
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| author | Amir Taimur Gohar Ali Muhammad Numan Adnan Aslam Kraidi Anoh Yannick |
| author_facet | Amir Taimur Gohar Ali Muhammad Numan Adnan Aslam Kraidi Anoh Yannick |
| author_sort | Amir Taimur |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-308f63c633c24196b634307ce0bb3844 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-308f63c633c24196b634307ce0bb38442025-02-03T07:24:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/96801379680137Super H-Antimagic Total Covering for Generalized Antiprism and Toroidal Octagonal MapAmir Taimur0Gohar Ali1Muhammad Numan2Adnan Aslam3Kraidi Anoh Yannick4Department of Mathematics, Islamia College, Peshawar, PakistanDepartment of Mathematics, Islamia College, Peshawar, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock, PakistanDepartment of Natural Sciences and Humanities, University of Engineering and Technology, Lahore (RCET), Lahore, PakistanUFR of Mathematics and Computer Science, University Felix Houphouet Boigny of Cocody, Abidjan, Côte d’IvoireLet 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.http://dx.doi.org/10.1155/2021/9680137 |
| spellingShingle | Amir Taimur Gohar Ali Muhammad Numan Adnan Aslam Kraidi Anoh Yannick Super H-Antimagic Total Covering for Generalized Antiprism and Toroidal Octagonal Map Journal of Mathematics |
| title | Super H-Antimagic Total Covering for Generalized Antiprism and Toroidal Octagonal Map |
| title_full | Super H-Antimagic Total Covering for Generalized Antiprism and Toroidal Octagonal Map |
| title_fullStr | Super H-Antimagic Total Covering for Generalized Antiprism and Toroidal Octagonal Map |
| title_full_unstemmed | Super H-Antimagic Total Covering for Generalized Antiprism and Toroidal Octagonal Map |
| title_short | Super H-Antimagic Total Covering for Generalized Antiprism and Toroidal Octagonal Map |
| title_sort | super h antimagic total covering for generalized antiprism and toroidal octagonal map |
| url | http://dx.doi.org/10.1155/2021/9680137 |
| work_keys_str_mv | AT amirtaimur superhantimagictotalcoveringforgeneralizedantiprismandtoroidaloctagonalmap AT goharali superhantimagictotalcoveringforgeneralizedantiprismandtoroidaloctagonalmap AT muhammadnuman superhantimagictotalcoveringforgeneralizedantiprismandtoroidaloctagonalmap AT adnanaslam superhantimagictotalcoveringforgeneralizedantiprismandtoroidaloctagonalmap AT kraidianohyannick superhantimagictotalcoveringforgeneralizedantiprismandtoroidaloctagonalmap |