Research articles
ScienceAsia (): 129134 doi:
10.2306/scienceasia15131874...129
Cyclesupermagic labelling of some classes of plane graphs
Muhammad˙Numan^{a}, Gohar˙Ali^{b,*}, Muhammad˙Asif^{b}, Andrea˙SemaničováFeňovčíková^{c}
ABSTRACT: A simple graph G=(V,E) admits an Hcovering if every edge in E(G) belongs to a subgraph of G isomorphic to H. The graph G is said to be Hmagic if there exists a bijection ψ:V(G)∪E(G)→{1,2,...,V(G)+E(G)} such that for every subgraph H′ of G isomorphic to H, the sum ∑_{v∈V(H′)}ψ(v)+∑_{e∈E(H′)}ψ(e) is constant. Furthermore, G is said to be Hsupermagic if ψ(V(G))={1,2,...,V(G)}. In this paper, we study the cyclesupermagic labelling of a pumpkin graph and two classes of planar maps containing 8sided and 4sided faces or 6sided and 4sided faces, respectively.
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^{a} 
Department˙of˙Mathematics˙Comsats˙Institute˙of˙Information˙Technology, Attock, Pakistan 
^{b} 
Department˙of˙Mathematics˙Islamia˙College, Peshawar, Pakistan 
^{c} 
Department˙of˙Applied˙Mathematics˙and˙Informatics, Technical˙University, Ko¡ice, Slovak˙Republic 
* Corresponding author, Email: gohar.ali@icp.edu.pk
Received 8 Aug 2017, Accepted 26 Nov 2017
