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图型序列母函数的递归性质
引用本文:邵学才 叶秀明. 图型序列母函数的递归性质[J]. 上海大学学报(自然科学版), 1995, 1(3): 241-245
作者姓名:邵学才 叶秀明
作者单位:北京工业大学,上海大学
摘    要:以有向图G的顶点为元素,G的有向途径所对应的序列称为图形序列。本文讨论图型序列母函数的一些递归性质,主要包括割点定理,割边定理和删点公式,利用这些性质可以简化图型序列母函数的计算。

关 键 词:递归性质  母函数  图论  图型序列  

The Reccurence Property of Generating Function of Graphical Sequences
Shao Xuecai. The Reccurence Property of Generating Function of Graphical Sequences[J]. Journal of Shanghai University(Natural Science), 1995, 1(3): 241-245
Authors:Shao Xuecai
Abstract:All sequences corresponding in one-to-one to directed walks in a directed graph G with element of points in G are called graphical sequences of G. This paper discusses some recurrence properties for generating function of graphical sequences, mainly including cut point theorem, cut edge theorem, delete point formula. Using there properties can simplify the computation of generating function of graphical sequences.
Keywords:graph theory  generating function. graphica sequences
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