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Generalization for Laplacian energy
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  • 分类：O151.21[理学—数学;理学—基础数学] TP391.41[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]School of Mathematics Sciences, South China Normal University, Guangzhou 510631, China, [2]College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China
  • 相关基金：Research supported by the National Natural Science Foundation of China（10771080）
  • 相关项目：组合矩阵论的理论和应用
关键词： 拉普拉斯, HERMITE矩阵, 能源, 简单图, 能量, 特征值, 矩阵A, 定义, energy （of matrix）, Hermite matrix, eigenvalue
中文摘要：

让 G 是有 n 顶点和 m 边的一张简单的图。让的 λ 1,λ 2,... ， λ n , 是 G 的毗邻光谱，并且让 μ 1,μ 2,... ， μ n 是 G 的拉普拉斯算符光谱。G 的精力是，当 G 的拉普拉斯算符精力被定义为时。让的 γ 1,γ 2,... ， γ n 是 Hermite 矩阵 A 的特征值。在这被定义并且调查纸的 Hermite 矩阵的精力。它是 E (G) 和 LE (G) 的自然归纳。因此，关于在统一的精力的所有性质能被处理由他(A) 。

英文摘要：

Let G be a simple graph with n vertices and m edges. Let λ1, λ2,…, λn, be the adjacency spectrum of G, and let μ1, μ2,…, μn be the Laplacian spectrum of G. The energy of G is E（G） = n∑i=1｜λi｜, while the Laplacian energy of G is defined as LE（G） = n∑i=1｜μi-2m/n｜ Let γ1, γ2, ~ …, γn be the eigenvalues of Hermite matrix A. The energy of Hermite matrix as HE（A） = n∑i=1｜γi-tr（A）/n｜ is defined and investigated in this paper. It is a natural generalization of E（G） and LE（G）. Thus all properties about energy in unity can be handled by HE（A）.

同期刊论文项目
组合矩阵论的理论和应用
期刊论文 76
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