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混合图有向树集直积生成
引用本文:熊元新,刘涤尘.混合图有向树集直积生成[J].武汉大学学报(工学版),2001,34(4):84-88.
作者姓名:熊元新  刘涤尘
作者单位:武汉大学电气工程学院,
基金项目:国家自然科学基金资助(编号:59977016).
摘    要:将混合图G分解成二分图G(v1)和G(v2 )以及离集Ec,分别生成二分图G(v1)和G(v2 )的k-树集 (k=1,2 ,… ,m) ,并给出了消除伪树的方法 .在此基础上 ,应用直积运算原理建立了生成混合图全部有向树的二分图公式 .该方法具有较好的系统性和直观性 ,并且无伪树成分 ,应用该方法可以生成二分图G(v1)和G(v2 )的有向k -树集 ,并能扩大计算机所能拓扑分析的电网络规模 .

关 键 词:混合图  有向树  二分图  直积
文章编号:1006-155(2001)04-084-005
修稿时间:2000年5月27日

Direct product generation of composite graph's directed tree set
XIONG Yuan_xin,LIU Di_chen.Direct product generation of composite graph's directed tree set[J].Engineering Journal of Wuhan University,2001,34(4):84-88.
Authors:XIONG Yuan_xin  LIU Di_chen
Abstract:A composite graph G will be separated to bipartite graph G(v\-1),G(v\-2) and separated set E\-c,then k_tree set (k=1,2,...,m) for bipartite G(v\-1) and G(v\-2) is found respectively. And the method of eliminating pseudo_tree is presented. Base on above, applying direct product operation principle to build formula for finding all composite graph directed_tree's bipartite graph. This method has better systematization and straightforwardness than others, even more, it has no pseudo tree component. Applying this method can find the directed k_ tree set of bipartite G(v\-1) and G(v\-2) and can expand electrical network scale of computer topological analysis.
Keywords:composite graph  directed tree  bipartite graph  directed product
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