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R^m与I^n及S(m)与I^n之间的拓扑分划
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作者 卫国 《纯粹数学与应用数学》 CSCD 1992年第1期60-64,共5页
1979年,P.Bankston和R.J.McGovern提出了拓扑分划(简称分划)的概念,他们系统地研究了分划问题,同时也提出了几个公开问题。其中“有理数直线Q能否分划每一个自密的可度量空间”这一基本问题已被王戍堂教授以肯定的形式解决;1984年。
关键词 拓扑分划 拓扑空间 分划问题 拓扑嵌入
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关于数直线R中分划R的子集 被引量:1
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作者 卫国 《西安地质学院学报》 1989年第3期81-84,共4页
本文研究美国学者P.Bankston和R.J.McGovern提出的一个公开问题—数直线R中那些子集分划R?研究表明,R中的每一个0一维子集都分划R;对月中的1一维子集;本文给出了开集、闭集以及具有某种散性的子集分划R的充分必要条件。
关键词 数直线 R 子集 拓扑分划 连续统
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An Improved FN Algorithm for Community Division of Air Route Network
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作者 ZHAO Zheng ZHANG Saiwen +1 位作者 XU Lipeng HU Li 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2020年第4期630-637,共8页
Community division is an important method to study the characteristics of complex networks.The widely used fast-Newman(FN)algorithm only considers the topology division of the network at the static layer,and dynamic t... Community division is an important method to study the characteristics of complex networks.The widely used fast-Newman(FN)algorithm only considers the topology division of the network at the static layer,and dynamic traffic flow demand is ignored.The result of the division is only structurally optimal.To improve the accuracy of community division,based on the static topology of air route network,the concept of network traffic contribution degree is put forward.The concept of operational research is introduced to optimize the network adjacency matrix to form an improved community division algorithm.The air route network in East China is selected as the object of algorithm comparison experiment,including 352 waypoints and 928 segments.The results show that the improved algorithm has a more ideal effect on the division of the community structure.The proportion of the number of nodes included in the large community has increased by 21.3%,and the modularity value has increased from 0.756 to 0.806,in which the modularity value is in the range of[-0.5,1).The research results can provide theoretical and technical support for the optimization of flight schedules and the rational use of air route resources. 展开更多
关键词 air route network community division topological structure traffic flow contribution
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