华东师范大学学报(自然科学版) ›› 2012, Vol. 2012 ›› Issue (5): 127-144.

• 专题讲座 • 上一篇    

图的空间理论:与图有关的线性代数理论 (上)

任 韩, 吴 昊   

  1. 华东师范大学~~数学系,~~上海 200241
  • 收稿日期:2011-10-01 修回日期:2012-02-01 出版日期:2012-09-25 发布日期:2012-09-29

Space theory on graphs: The linearly independence methods in graph theory (I)

REN Han  WU Hao   

  1. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2011-10-01 Revised:2012-02-01 Online:2012-09-25 Published:2012-09-29

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摘要： 对图的空间理论(尤其是圈空间)进行了总结: 介绍了目前在这个方面的重要理论, 结果和方法. 与经典的组合矩阵等方法不同的是, 本文侧重于介绍各种数域上的有限空间理论和方法对于图的组合结构的作用和影响.

关键词: 图空间, 线性相关性

Abstract: In this paper we survey some important results and methods applied in graph theory and related topics. Different from the classical combinatorial matrix methods used in the fields such as the spectral theory of graphs, we concentrate on the finite linearly spaces over various kinds of number fields and their actions and influnces on the structural graph theory.

Key words: graph space, linearly independence

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