SOME APPLICATIONS OF GRAPH-THEORY TO THE STUDY OF POLYMER CONFIGURATION
SOME APPLICATIONS OF GRAPH-THEORY TO THE STUDY OF POLYMER CONFIGURATION
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DOI：
10.1016/0166-218x(88)90012-1
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发表时间：
1988-03-01
影响因子：
1.1
通讯作者：
SYSLO, MM
中科院分区：
文献类型：
--
作者：
GALINA, H;SYSLO, MM
在欧氏空间中，聚合物分子的空间构型取决于其单元的相邻性。不同结构的所谓高斯聚合物分子的构型相关性质可以用图论范畴来表示，如其图的生成树数、路径长度、广义逆和Kirchhoff矩阵的谱。本文综述了各种聚合物分子的平方回转半径及其一阶矩的分布函数，即均方回转半径的计算方法和结果。
The spatial configuration of polymer molecules in an Euclidean space depends on the adjacency of their units. The configuration dependent properties of the so called Gaussian polymer molecules of different structures can be expressed in terms of graph-theoretical categories such as the number of spanning trees, path lengths, generalized inverses and spectra of the Kirchhoff matrices of their graphs. We review here the methods and results concerning the distribution function of the square radius of gyration and its first moment, the mean square radius of gyration, for various types of polymer molecules.