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Odd Factor Decomposition of E-Super Magic Graphs


Affiliations
1 Department of Mathematics, Vellalar College for Women, Erode – 638 012, Tamilnadu, India
 

An F-magic labeling in an F-decomposable graph G of order p and size q is a bijection f :V (G)∪ E(G)→{1,2....p + q} such that for every copy F in the decomposition, ΣVeV(F)f(v) + Σe∈E(F)f(e) is constant. The function f is said to be F-E super magic if f (E(G)) = {1,2,....q}. This article contains, a necessary and some sufficient conditions for some even regular and odd regular graphs G to have an (2k +1) - factor E-super magic decomposition, for k ≥1.

Keywords

F-Decomposable Graph, F-E Super Magic Labeling, (2k + 1)-Factor E-Super Magic Decomposition of Graphs.
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  • Odd Factor Decomposition of E-Super Magic Graphs

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Authors

P. Hemalatha
Department of Mathematics, Vellalar College for Women, Erode – 638 012, Tamilnadu, India
V. Nivetha
Department of Mathematics, Vellalar College for Women, Erode – 638 012, Tamilnadu, India

Abstract


An F-magic labeling in an F-decomposable graph G of order p and size q is a bijection f :V (G)∪ E(G)→{1,2....p + q} such that for every copy F in the decomposition, ΣVeV(F)f(v) + Σe∈E(F)f(e) is constant. The function f is said to be F-E super magic if f (E(G)) = {1,2,....q}. This article contains, a necessary and some sufficient conditions for some even regular and odd regular graphs G to have an (2k +1) - factor E-super magic decomposition, for k ≥1.

Keywords


F-Decomposable Graph, F-E Super Magic Labeling, (2k + 1)-Factor E-Super Magic Decomposition of Graphs.

References





DOI: https://doi.org/10.15613/sijrs%2F2016%2Fv3i2%2F157296