| $R(G)\ge -1$的图族伴随多项式最小根极值的刻画 |
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| 引用本文： | 任海珍,刘儒英.$R(G)\ge -1$的图族伴随多项式最小根极值的刻画[J].数学研究及应用,2006,26(4):819-824. |
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| 作者姓名： | 任海珍 刘儒英 |
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| 作者单位： | 青海师范大学数学与信息科学系, 青海 西宁 810008;青海师范大学数学与信息科学系, 青海 西宁 810008 |
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| 基金项目： | 国家自然科学基金(10461009), 教育部自然科学重点研究项目(205170) |
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| 摘 要： | 本文引入了图族伴随多项式的最小根极值,用它刻画了特征标不小于$-1$的图族伴随多项式的最小根极值,给出了其对应的极图, 并由此得到了一些有关这些图族伴随多项式最小根序关系的新结果.
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| 关 键 词： | 伴随多项式 特征标 最小根 序. |
| 文章编号： | 1000-341X(2006)04-0819-06 |
| 收稿时间： | 06 28 2004 12:00AM |
| 修稿时间： | 2004年6月28日 |
On Extremes of Minimum Real Roots of Adjoint Polynomials of Graphs with $R(G)\geq -1$ |
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| REN Hai-zhen and LIU Ru-ying.On Extremes of Minimum Real Roots of Adjoint Polynomials of Graphs with $R(G)\geq -1$[J].Journal of Mathematical Research with Applications,2006,26(4):819-824. |
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| Authors: | REN Hai-zhen and LIU Ru-ying |
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| Institution: | Department of Mathematics and Information Science, Qinghai Normal University, Xining 810008, China;Department of Mathematics and Information Science, Qinghai Normal University, Xining 810008, China |
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| Abstract: | In this paper, the extremes of the minimum real roots of the adjoint polynomials of graphs are defined, and the graphs with $R(G)\geq -1$ are characterized by the extremes of the minimum real roots of its adjoint polynomials. Moreover, the root extreme graphs of the adjoint polynomials of graphs with $R(G)\geq -1$ are given. Then, some new results on the order of the minimum real roots of the adjoint polynomials of graphs are obtained. |
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| Keywords: | adjoint polynomial character minimum roots order |
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