| C3r-圈单路图Q-谱半径的极限和上界 |
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| 引用本文： | 卢自娟,黄杰,高爱民.C3r-圈单路图Q-谱半径的极限和上界[J].新疆师范大学学报(自然科学版),2012,31(1):75-79,84. |
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| 作者姓名： | 卢自娟 黄杰 高爱民 |
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| 作者单位： | 克拉玛依职业技术学院基础部,新疆克拉玛依,833600 |
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| 摘 要： | 设Pn=v1v2…vn表示n阶路,Cr3表示有一个公共顶点的r个三角形,该公共顶点称为Cr3的中心。Cr3-圈单路图Gn,Cr3表示用一边连接Cr3的中心和Pn的端点vn后得到的图(见图1)。文章研究Q-谱半径q(Gn,Cr3)(r≥2,r∈Z)的上界,并且证明了q(Gn,Cr3)收敛到它的Q-谱半径的上界。
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| 关 键 词： | Cr3-圈单路图Gn Cr Q-谱半径 上界 |
The Limit and the Upper Bound for Q-spectral Radius of C3r-cycle Single Path-graphs |
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| LU Zi-juan,HUANG Jie,GAO Ai-min.The Limit and the Upper Bound for Q-spectral Radius of C3r-cycle Single Path-graphs[J].Journal of Xinjiang Normal University(Natural Sciences Edition),2012,31(1):75-79,84. |
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| Authors: | LU Zi-juan HUANG Jie GAO Ai-min |
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| Institution: | (School of Kelamayi,Karamay,Xinjing,833600,China) |
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| Abstract: | LetPn=v1v2…vnbe a path of order n.,C r3 be r triangles with a common vertex which is called its center,Gn,C r3is obtained by connecting the center of C r3with vn end of Pn(see Fig1).In this paper,we investigate the upper bounds for the Q-spectral radius q(Gn,Cr3),where r is a positive integer.Furthermore,we prove that q(Gn,Cr3)are quickly convergence to the upper bounds of its Q-spectral radius. |
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| Keywords: | Cr3-cycle single path-graphs Gn Cr3 Q-spectral radius Bounds |
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