H-E-Super magic decomposition of graphs
نویسندگان
چکیده
An H-magic labeling in an H-decomposable graph G is a bijection f : V (G)∪E(G)→ {1, 2, . . . , p+ q} such that for every copy H in the decomposition, ∑ v∈V (H) f(v)+ ∑ e∈E(H) f(e) is constant. The function f is said to be H-E-super magic if f(E(G)) = {1, 2, . . . , q}. In this paper, we study some basic properties of m-factor-E-super magic labeling and we provide a necessary and sufficient condition for an even regular graph to be 2-factor-E-super magic decomposable. For this purpose, we use Petersen’s theorem and magic squares.
منابع مشابه
Mixed cycle-E-super magic decomposition of complete bipartite graphs
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ARTICLE INFO An H-magic labeling in a H-decomposable graph G is a bijection f : V (G) ∪ E(G) → {1, 2, ..., p+ q} such that for every copy H in the decomposition, ∑
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ورودعنوان ژورنال:
- EJGTA
دوره 2 شماره
صفحات -
تاریخ انتشار 2014