| 一类六角系统图的特征多项式及应用 |
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| 引用本文： | 娄贞贞,黄琼湘.一类六角系统图的特征多项式及应用[J].数学研究及应用,2014,34(3):265-277. |
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| 作者姓名： | 娄贞贞 黄琼湘 |
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| 作者单位： | 新疆大学数学与系统科学学院, 新疆 乌鲁木齐 830046;新疆大学数学与系统科学学院, 新疆 乌鲁木齐 830046 |
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| 基金项目： | 国家自然科学基金 (Grant No.11261059). |
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| 摘 要： | Let Ln be the hexagonal chain graph,Fnbe the hexacyclic system graph and Mn be the M¨obius hexacyclic system graph. Derflinger and Sofer gave the spectra of Ln and Fn by using group theoretical method. Later, Gutman gave the spectra of them using a polynomial result due to Godsil and McKay. In this paper, we give a simple and direct method to determine the characteristic polynomial and spectra of Fn and Ln. By the method, we give the characteristic polynomial and spectrum of Mn that is new. Additionally, the exact values of total π-electron energy and the nullities of Ln, Fn and Mn are obtained, and the bounds for the energy of Ln and Mn are also considered.
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| 关 键 词： | 特征多项式 六方晶系 应用 频谱利用 群论方法 Mn 六角形 π电子 |
| 收稿时间： | 2013/4/22 0:00:00 |
| 修稿时间： | 7/9/2013 12:00:00 AM |
On the Characteristic Polynomial of a Hexagonal System and Its Application |
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| Zhenzhen LOU and Qiongxiang HUANG.On the Characteristic Polynomial of a Hexagonal System and Its Application[J].Journal of Mathematical Research with Applications,2014,34(3):265-277. |
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| Authors: | Zhenzhen LOU and Qiongxiang HUANG |
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| Institution: | College of Mathematics and Systems Science, Xinjiang University, Xinjiang 830046, P. R. China;College of Mathematics and Systems Science, Xinjiang University, Xinjiang 830046, P. R. China |
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| Abstract: | characteristic polynomial spectrum hexagonal system circulant matrix energy nullity. |
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| Keywords: | characteristic polynomial spectrum hexagonal system circulant matrix energy nullity |
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