华东师范大学学报(自然科学版) ›› 2010, Vol. 2010 ›› Issue (1): 10-16.

• 应用数学与基础数学 • 上一篇    下一篇

关于图的拉普拉斯能量的若干结果（英）

刘颖1,吴宝丰2   

  1. 1. 上海立信会计学院数学与信息学院,上海201620;2.上海理工大学理学院,上海200093
  • 收稿日期:2009-01-04 修回日期:2009-05-08 出版日期:2010-01-25 发布日期:2010-01-25
  • 通讯作者: 刘颖

Some results on the Laplacian energy of a graph

LIU Ying1, WU Bao-feng2   

  1. 1. Department of Mathematics and Statistics, Lixin University of Commerce, Shanghai 201620, China;2. School of Science, University of Shanghai forScience and Technology,200093, China
  • Received:2009-01-04 Revised:2009-05-08 Online:2010-01-25 Published:2010-01-25
  • Contact: LIU Ying

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摘要： 研究图的拉普拉斯能量和拉普拉斯矩阵的奇异值之间的关系.确定了图的拉普拉斯能量的界, 以及边和点的去除对能量值的影响.所得结果可用于研究理论化学中的分子能量.

关键词: 拉普拉斯特征值, 拉普拉斯能量, 奇异值, 拉普拉斯特征值, 拉普拉斯能量, 奇异值

Abstract: This paper studied the relation between the Lapacian energy with the singular values of the Laplacian matrix and obtain some results on the bound of the Laplacian energy on a graph. Changes of the energy caused by deletion of edges and vertices of a graph were also studied. The results may help to have a better understanding of pi-electron energy in a molecule in theoretical chemistry.

Key words: Laplacian energy, singular values, Laplacian eigenvalues, Laplacian energy, singular values

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