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THE CHROMATIC POLYNOMIALS FOR THE WHEEL AND LADDER GRPAHS

机译:车轮和梯形图的色多项式

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摘要

Usually the coloring of the vertices of a graph G leads to discussion chromatic polynomial of graph, in which we have k distinct colors, (k is a nonnegative integer number), and we want to obtain the number of ways of coloring the vertices of G with k colors in such way that no two adjacent vertices are assigned the same color.This number of ways denoted by P_G(k) and called chromatic function, since always this function is a polynomial so it called chromatic polynomial. In this note we want to study on cycle, wheel and ladder graphs and obtain some ways to compute their chromatic polynomials.
机译:通常,对图G的顶点进行着色会导致图的讨论色多项式,其中我们有k种不同的颜色(k为非负整数),我们想要获得对G的顶点进行着色的方式数具有k种颜色的方式使得没有两个相邻的顶点被分配相同的颜色.P_G(k)表示的这种方式称为色函数,因为该函数始终是多项式,所以称为色多项式。在本说明中,我们要研究循环图,车轮图和梯形图,并获得一些方法来计算其色多项式。

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