Edge magic total labeling of lexicographic product C4(2r+1) o ~K2 cycle with chords, unions of paths, and unions of cycles and paths

Inne Singgih

Abstract


An edge magic total (EMT) labeling of a graph G = (V, E) is a bijection from the set of vertices and edges to a set of numbers defined by λ : VE → {1, 2, ..., ∣V∣ + ∣E∣} with the property that for every xyE, the weight of xy equals to a constant k, that is, λ(x) + λ(y) + λ(xy) = k for some integer k. In this paper given the construction of an EMT labeling for certain lexicographic product $C_{4(2r+1)}\circ \overline{K_2}$, cycle with chords [c]tCn, unions of paths mPn, and unions of cycles and paths m(Cn1(2r + 1) ∪ (2r + 1)Pn2).


Keywords


edge magic total labeling; lexicographic product; cycle with chords; unions of paths; unions of cycles and paths

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References


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DOI: http://dx.doi.org/10.19184/ijc.2018.2.2.6

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