| 关于三叶图的能量变换 |
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| 引用本文： | 陈志文.关于三叶图的能量变换[J].华东交通大学学报,2009,26(3):88-91. |
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| 作者姓名： | 陈志文 |
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| 作者单位： | 青海师范大学,数学系,青海,西宁,810008 |
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| 摘 要： | 图的能量是图的邻接矩阵的特征值的绝对值之和，记为E（G）。用G（n，r）表示为具r个圈的n阶仙人掌图集，当r=3且每个圈为三角形时，称图G为三叶图。主要讨论n阶三叶图之间的能量变换关系。首先得到m（G，k）与bi（G）的关系；其次得到此类图之间满足变换关系Ⅰ、Ⅱ下的能量关系；并证得当T≌Sk，k〉12时的三叶图具有最小能量。
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| 关 键 词： | 三叶图 特征多项式 图的能量 |
On Energy Changing of 3-leaves Graphs |
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| CHEN Zhi-wen.On Energy Changing of 3-leaves Graphs[J].Journal of East China Jiaotong University,2009,26(3):88-91. |
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| Authors: | CHEN Zhi-wen |
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| Institution: | CHEN Zhi-wen ( Department of Mathematics, Qinghai Normal University, Xining 810008, China) |
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| Abstract: | The energy of a graph is defined as the sum of the absolute value of eigenvalues of the adjacent matrix on the graph. G （ n, r） denotes the set of n order cacti graph with r cycles. When r = 3 and every cycls is triangle, it is called n order 3-leaves graph. In this paper, we mainly study the energy transformation raltion of 3-leaves graphs. Firstly, we get the relation between m （ G, k ） and bi （G）. Secondly, we obtain the energy connection between the graphs which satisfy the transfonntion Ⅰ or Ⅱ. And we get that the 3-leaves graphs have the minimum energy when T≌Sk, k ≥2. |
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| Keywords: | 3-leaves graph characteristic polynomial energy of graph |
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