| 伴随多项式的根与色等价图的刻画 |
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| 引用本文： | 朱雯. 伴随多项式的根与色等价图的刻画[J]. 大学数学, 2008, 24(5) |
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| 作者姓名： | 朱雯 |
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| 作者单位： | 西华大学,数学与计算机学院,成都,610039 |
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| 摘 要： | 文[2]给出了不含三角形图伴随多项式根的内插性质,本文研究了含三角形图的伴随多项式根的性质,在此基础上完整地刻画了■的色等价图,且给出这类图色唯一的充要条件.Cti表示有ti个顶点的圈;Dn表示Pn-2的一个1度点粘接下来K3的一个点得到的图.
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| 关 键 词： | 根分布 色等价 色唯一 |
The Characterizations of Chromatically Equivalent Graphs and the Roots of Adjoint Polynomial |
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| ZHU Wen. The Characterizations of Chromatically Equivalent Graphs and the Roots of Adjoint Polynomial[J]. College Mathematics, 2008, 24(5) |
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| Authors: | ZHU Wen |
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| Abstract: | The interpolation properties of the roots of adjoint polynomial were obtained for graphs which do not contain any triangle in [2]. In this paper, we study the properties of the roots of adjoint polynomial of the graphs which contain triangle. Based on this, we completely characterize the chromatically equivalent classification of ■, and get the necessary and sufficient condition of ■ being chromatically unique. |
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| Keywords: | root distribution chromatically equivalent chromatic uniqueness |
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