Nurul Hafidhoh Anwar, M. N. Jauhari, Dewi Ismiarti
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引用次数: 0

摘要

图的顶点着色是对顶点的颜色分配,使得相邻的两个顶点没有被分配相同的颜色。图的顶点着色所需的最少颜色数是色数,表示为。如果一个图可以在平面上画出来,除了在端点处外,没有任何边相交,那么这个图就是平面的。在平面图的基础上构造对偶图。平面图上的每个区域都可以用对偶图的一个顶点来表示。如果两个顶点所代表的区域是相邻的,并且有一个共同的边界,那么这两个顶点就是连通的。表示的菱形图可以用来对结构网络建模。研究表明,对偶菱形图的色数为χ(〖Br_n〗^*)={█(3,n=2,n≥4@4,n=3.
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Bilangan Kromatik Titik dari Dual Graf Berlian
A vertex coloring of a graph , is an assigments of colors to the vertices of , such that no two adjacent vertices are assigned the same color. The least number of colors needed for an vertices coloring of a graph  is the chromatic number, denoted by . A graph is said to be planar if it can be drawn in the plane so that no edges crossing except at endpoints. A dual graph is constructed from the planar graph. Each region in planar graph can be represented by a vertex of the dual graph. Two vertices are connected if the region represented by these vertices are neugbours and have a common border. A diamond graph denoted by , can be used to model structure networks. In this study, it is shown that the chromatic number of dual diamond graph is  χ(〖Br_n〗^* )={█(3,n=2 and n≥4@4,n=3.)┤
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