MORE ON THE RELATION BETWEEN ENERGY AND LAPLACIAN ENERGY OF GRAPHS

被引：0
作者：
Stevanovic, Dragan [1 ,2 ]
Stankovic, Ivan [1 ]
Milosevic, Marko [1 ]
机构：
[1] Univ Nis, PMF, Nish, Serbia
[2] Univ Primorska, FAMNIT PINT, Koper, Slovenia
来源：
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2009年 / 61卷 / 02期
关键词：
PI-ELECTRON ENERGY; SPECTRAL-RADIUS; MINIMAL ENERGY; MOMENTS;
D O I：
暂无
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
I. Gutman et al. have recently conjectured that the energy of a graph does not exceed its Laplacian energy. We disprove this conjecture by giving a few small counterexamples and, in addition, an infinite set of counterexamples. Nevertheless, we do show that the standard deviation of eigenvalues of the adjacency matrix of every graph does not exceed the standard deviation of eigenvalues of its Laplacian matrix.
引用
收藏
页码：395 / 401
页数：7
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