H-Coverings of Path-Amalgamated Ladders and Fans
Let G be a connected, simple graph with finite vertices v and edges e. A family G1,G2,…,Gp⊂G of subgraphs such that for all e∈E, e∈Gl, for some l, l=1,2,…,p is an edge-covering of G. If Gl≅ℍ, ∀l, then G has an ℍ-covering. Graph G with ℍ-covering is an ad,d-ℍ-antimagic if ψ:VG∪EG⟶1,2,…,v+e a bijectio...
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| Format: | Article |
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Hindawi Limited
2020-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/5846014 |
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doaj-8cff58970a834679902a4aa2bfc1fadf2020-11-30T09:11:28ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/58460145846014H-Coverings of Path-Amalgamated Ladders and FansYijun Xiong0Huajun Wang1Muhammad Awais Umar2Yu-Ming Chu3Basharat Rehman Ali4Maria Naseem5College of Geophysics, Chengdu University of Technology, Chengdu 610059, ChinaCollege of Geophysics, Chengdu University of Technology, Chengdu 610059, ChinaGovernment Degree College (B), Sharaqpur, Sharif 39460, PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaFaculty of Information Technology, University of Central Punjab, Lahore, PakistanAbdus Salam School of Mathematical Sciences, G C University Lahore, Lahore, PakistanLet G be a connected, simple graph with finite vertices v and edges e. A family G1,G2,…,Gp⊂G of subgraphs such that for all e∈E, e∈Gl, for some l, l=1,2,…,p is an edge-covering of G. If Gl≅ℍ, ∀l, then G has an ℍ-covering. Graph G with ℍ-covering is an ad,d-ℍ-antimagic if ψ:VG∪EG⟶1,2,…,v+e a bijection exists and the sum over all vertex-weights and edge-weights of ℍ forms a set ad,ad+d,…,ad+p−1d. The labeling ψ is super for ψVG=1,2,3,…,v and graph G is ℍ-supermagic for d=0. This manuscript proves results about super ℍ-antimagic labeling of path amalgamation of ladders and fans for several differences.http://dx.doi.org/10.1155/2020/5846014 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yijun Xiong Huajun Wang Muhammad Awais Umar Yu-Ming Chu Basharat Rehman Ali Maria Naseem |
| spellingShingle |
Yijun Xiong Huajun Wang Muhammad Awais Umar Yu-Ming Chu Basharat Rehman Ali Maria Naseem H-Coverings of Path-Amalgamated Ladders and Fans Mathematical Problems in Engineering |
| author_facet |
Yijun Xiong Huajun Wang Muhammad Awais Umar Yu-Ming Chu Basharat Rehman Ali Maria Naseem |
| author_sort |
Yijun Xiong |
| title |
H-Coverings of Path-Amalgamated Ladders and Fans |
| title_short |
H-Coverings of Path-Amalgamated Ladders and Fans |
| title_full |
H-Coverings of Path-Amalgamated Ladders and Fans |
| title_fullStr |
H-Coverings of Path-Amalgamated Ladders and Fans |
| title_full_unstemmed |
H-Coverings of Path-Amalgamated Ladders and Fans |
| title_sort |
h-coverings of path-amalgamated ladders and fans |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2020-01-01 |
| description |
Let G be a connected, simple graph with finite vertices v and edges e. A family G1,G2,…,Gp⊂G of subgraphs such that for all e∈E, e∈Gl, for some l, l=1,2,…,p is an edge-covering of G. If Gl≅ℍ, ∀l, then G has an ℍ-covering. Graph G with ℍ-covering is an ad,d-ℍ-antimagic if ψ:VG∪EG⟶1,2,…,v+e a bijection exists and the sum over all vertex-weights and edge-weights of ℍ forms a set ad,ad+d,…,ad+p−1d. The labeling ψ is super for ψVG=1,2,3,…,v and graph G is ℍ-supermagic for d=0. This manuscript proves results about super ℍ-antimagic labeling of path amalgamation of ladders and fans for several differences. |
| url |
http://dx.doi.org/10.1155/2020/5846014 |
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