六边形堆砌的莫比乌斯图的Wiener指标  

Wiener Index of Hexagonal Mobius Graph

作　　者：王广富[1,2] 谢日行[3] 

机构地区：[1]华东交通大学基础科学学院,江西南昌330013 [2]保山学院数学系,云南保山678000 [3]河南工业大学信息科学与工程学院,河南郑州450001

出　　处：《河南科技大学学报（自然科学版）》2012年第6期59-63,8,共5页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(11126171)

摘　　要：Wiener指标是理论化学里比较重要的一个拓扑指标,物质的很多物理化学性质与之有密切的联系。六边形堆砌的莫比乌斯图是一种嵌入到莫比乌斯带上使得每个面都是六边形的分子图。首先,利用图的自同构群的轨道理论,对两类特殊的六边形堆砌的莫比乌斯图的顶点进行了划分。然后在划分的每个类中各取一个代表元,计算其他各点到它的距离和,从而得到了六边形堆砌的莫比乌斯分子图Wiener指标的精确计算公式。Wiener index is a more important topological index in theoretical chemistry.Physical chemical properties of material are closely related to this index.Hexagonal Mbius graphs are one type of molecular graphs embedded into the Mbius strip such that each face is a hexagon.Firstly,via the orbits of automorphism of graphs,the vertex sets of the two special class of hexagonal Mbius graphs were divided.Then taking one representative in every part,all the distances from other vertices to it were summed.Finally,an explicit formula of Wiener index of the hexagonal Mbius graphs was obtained.

关 键 词：WIENER指标 六边形堆砌的莫比乌斯图 自同构群 

分 类 号：O157[理学—数学] O157[理学—基础数学]