N. Mattiro, I. W. Sudarsana
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引用次数: 0

摘要

让我们画一个简单的图。的边覆盖是一组子图,使得图的每条边至少属于其中一个子图。如果每一个都与给定的图同构,那么就说它包含一个覆盖。图G包含一个覆盖,它的双射函数被称为图G的神奇标记,它的每一个子图都是同构的,所以它是一个常数。在这种情况下,图G具有一种超魔力,可标记为魔力的图G称为覆盖图魔力。有n个点的星图是一个有点有边的图,其中一个点是度数,另一个点的度数记为。本研究旨在确定星图上超级魔术星的覆盖标记是否存在。研究方法为文献研究法。结果表明,星图具有具有全覆盖魔术常数的魔术覆盖标记,具有全覆盖魔术常数的超魔术覆盖标记。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Pelabelan Selimut Bintang Ajaib Super Pada Graf Bintang
Let  be a simple graph. An edge covering of  is a family of subgraphs  such that each edge of graph  belongs to at least one of the ,  subgraphs. If each  is isomorphic with the given graph , then it is said that contains a  covering. The graph G contains a covering  and   the bijectif function  is said an the magic labeling of a graph G if for each subgraph  of  is isomorphic to , so that is a constant. It is said that the graph G has a super magic if  in this case, the graph G which can be labeled with  magic is called the covering graph  magic. A star graph with n points is a graph with  points and  sides, where point is  degree and the other  point has degree  denoted by . This study aims to determine the presence of covering labeling for the super-magic star on the  star graph. The research methodology is literature study. The results show that the  star graph for   has   magic covering labeling with magic constants for all covering is  and the super-magic covering labeling with magic constants for all covering is .
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