华东师范大学学报(自然科学版) ›› 2009, Vol. 2009 ›› Issue (4): 1-9.

• 特约综述 •    下一篇

图的零度综述

束金龙1 翟明清2   

  1. 1. 华东师范大学数学系,上海 2. 滁州学院数学系, 安徽滁州 239000
  • 收稿日期:2008-08-16 修回日期:2008-11-06 出版日期:2009-07-25 发布日期:2009-07-25
  • 通讯作者: 翟明清

Survey on nullity of graphs

SHU Jin-long
ZHAI Ming-qing
  

  1. 1. Department of Mathematics, East China Normal University, Shanghai 2. Department of Mathematics, Chuzhou University, Chuzhou Anhui
  • Received:2008-08-16 Revised:2008-11-06 Online:2009-07-25 Published:2009-07-25
  • Contact: ZHAI Ming-qing

摘要: 综述无向简单图零度问题近年来所取得的研究进展.~该问题不仅对于深入了解图的各种性质有重要意义, 而且在化学上能反映分子的稳定性. 具体介绍了二部图、树、单圈图、双圈图和树的线图等图类的结果, 还讨论了大零度图等问题.

关键词: 图, 谱, 零度, 图, 谱, 零度

Abstract:

This paper gave a review of recent developments in the study of nullities of undirected simple graphs. The problem on nullity is very interesting in characterizing all kinds of properties of graphs as well as in determination of the stability of a molecule in chemistry. The results on bipartite graphs, trees, unicyclic graphs, bicyclic graphs, line graphs of trees were introduced. And the
graphs with large nullities were discussed.

Key words: spectra, nullity, graph, spectra, nullity

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