| 三圈图的第一广义Zagreb指标次大、第三大值问题 |
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| 引用本文： | 童贻民.三圈图的第一广义Zagreb指标次大、第三大值问题[J].池州师专学报,2009(3). |
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| 作者姓名： | 童贻民 |
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| 作者单位： | 安徽大学数学科学学院; |
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| 摘 要： | Zagreb指标主要用于分子设计,分子复杂性等方面,它反映了分子骨架的分支程度,并与分子的能量有关.用d(v)表示顶点v(v∈V(G))的度,Zagreb第一广义指标定义为M1α(G)=v∈V(G)Σdα(v),其中α是不为0、1的任意实数.本文主要来研究三圈图的第一广义Zagreb指标的次大值、第三大值的充要条件及相应图的顶点度序列.
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| 关 键 词： | Zagreb指标 三圈图 次大值 第三大值 |
Extreme Values of the First General Zagreb Index in Tricyclic Graphs |
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| Tong Yimin.Extreme Values of the First General Zagreb Index in Tricyclic Graphs[J].Journal of Chizhou Teachers College,2009(3). |
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| Authors: | Tong Yimin |
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| Institution: | Department of Mathematics;Anhui University;Hefei;Anhui 230039 |
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| Abstract: | The Zagreb index is mainly used in the molecular design,molecular complexity and so on,it reflects the molecular skeleton's branch degree, and with molecular energy related.The first general Zagreb index of a graph is defined as, where denotes the degree of the vertex in and is an arbitraty real numbers except 0 and 1.In this paper,we characterize all tricyclic graphs with the seconed largest and the third largest values of the first general Zagreb index. |
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| Keywords: | Zagreb Index Tricyclic Graph |
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