Super edge-magic strength of fire crackers, banana trees and unicyclic graphs |
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Authors: | V. Swaminathan |
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Affiliation: | a Ramanujan Research Centre, Saraswathi Narayanan College, Madurai 625 022, India b Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur 628 215, India |
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Abstract: | A graph G(V,E) is called super edge-magic if there exists a bijection f from V∪E to {1,2,3,…,|V|+|E|} such that f(u)+f(v)+f(uv)=c(f) is constant for any uv∈E and f(V)={1,2,3,…,|V|}. Such a bijection is called a super edge-magic labeling of G. The super edge-magic strength of a graph G is defined as the minimum of all c(f) where the minimum runs over all super edge-magic labelings of G and is denoted by sm(G). The super edge-magic strength of some families of graphs are obtained in this paper. |
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Keywords: | Super edge-magic labeling Super edge-magic strength |
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