| 关于连通在图论与拓扑学中的关系研究 |
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| 引用本文： | 罗明奇,马少仙,万淑慧,郭旭卫.关于连通在图论与拓扑学中的关系研究[J].甘肃联合大学学报(自然科学版),2009,23(5):26-28. |
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| 作者姓名： | 罗明奇 马少仙 万淑慧 郭旭卫 |
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| 作者单位： | 西北民族大学,计算机科学与信息工程学院,甘肃,兰州,730030 |
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| 基金项目： | 甘肃省教育厅科研项目 |
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| 摘 要： | 本文主要通过在简单无向连通图中建立距离概念,构造出一个拓扑空间,在此拓扑空间上证明了图论中的连通可以推导出拓扑学中的连通;反之,证明了拓扑学中的连通也可以推导出图论中的连通;从而说明图论中的连通与拓扑学中的连通可以相互转化.
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| 关 键 词： | 连通 开集 邻域 |
Research the Relationship of Connectivity between the Graph and the Topology |
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| LUO Ming-qi,MA Shao-xian,WAN Shu-hui,GUO Xuwei.Research the Relationship of Connectivity between the Graph and the Topology[J].Journal of Gansu Lianhe University :Natural Sciences,2009,23(5):26-28. |
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| Authors: | LUO Ming-qi MA Shao-xian WAN Shu-hui GUO Xuwei |
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| Institution: | LUO Ming-qi,MA Shao-xian,WAN Shu-hui,GUO Xuwei(School of computer science and information engineering,northwest university for nationalities,lanzhou 730030,china) |
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| Abstract: | This article mainly used a simple and connected graph to create the concept of distance,and construct a topological space.Then prove that the connectivity of graph could translate into topologies on the base of the distance.On the other hand,proves that the connectivity of topology also could translate into graphs.Thus we can conclude that the connectivity of graph's and topologies could translate from each others. |
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| Keywords: | connectivity open set neighborhood |
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