On Randic energy
On Randic energy
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DOI：
10.1016/j.laa.2013.06.010
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发表时间：
2014-02-01
影响因子：
1.1
通讯作者：
Bozkurt, S. Burcu
中科院分区：
文献类型：
--
作者：
Gutman, Ivan;Furtula, Boris;Bozkurt, S. Burcu
顶点vi度为d(i)的图G的随机矩阵R = (R (ij))，如果顶点v(i)和v(j)相邻，则R (ij) = 1/√d(i)d(j)，否则R (ij) = 0。Randic。能量RE是r的特征值的绝对值之和，RE与归一化拉普拉斯能量和归一化无符号拉普拉斯能量一致。确定了R和RE的几个性质，包括最小RE图的表征。对最大RE图的结构进行了推测。(C) 2013爱思唯尔公司版权所有。
The Randic matrix R = (r(ij)) of a graph G whose vertex vi has degree d(i) is defined by r(ij) = 1/root d(i)d(j) if the vertices v(i) and v(j) are adjacent and r(ij) = 0 otherwise. The Randic. energy RE is the sum of absolute values of the eigenvalues of R. RE coincides with the normalized Laplacian energy and the normalized signless-Laplacian energy. Several properties or R and RE are determined, including characterization of graphs with minimal RE. The structure of the graphs with maximal RE is conjectured. (C) 2013 Elsevier Inc. All rights reserved.