Add to ORKGThe Laplacian energy L£[G] of a simple graph G with n vertices and m edges is equal to the sum of distances of the Laplacian eigenvalues to their average. For 1 ≤ j ≤ s, let Aj be matrices of orders n j. Suppose that det(L(G) - λIn) = Πj=1s det(Aj- - λI n,j)tj, with tj > 0. In the present paper we prove LE[G) ≤ Σ j=1stj√n j||Aj-2m/n||F≤ √n||L(G) - 2m/nIn||F , where ||·||F stands for the Frobenius matrix norm.CEOCFCTFEDER/POCI 201
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\l...
Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $...
summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...
AbstractAssume that μ1,μ2,…,μn are eigenvalues of the Laplacian matrix of a graph G. The Laplacian-e...
summary:In this paper we consider the energy of a simple graph with respect to its Laplacian eigenva...
summary:In this paper we consider the energy of a simple graph with respect to its Laplacian eigenva...
AbstractLet G be a graph with n vertices and m edges. Let λ1,λ2,…,λn be the eigenvalues of the adjac...
In this paper, the distance laplacian energy for distance matrix is examined. Some bounds for the la...
Abstract. Suppose µ1, µ2,..., µn are Laplacian eigenvalues of a graph G. The Laplacian energy of G i...
© 2015 Miskolc University Press. Let G be an undirected simple and connected graph with n vertices (...
Abstract The energy of a graph G is defined as the sum of the singular values of its adjacency matri...
AbstractAssume that μ1,μ2,…,μn are eigenvalues of the Laplacian matrix of a graph G. The Laplacian-e...
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\l...
summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}...
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\l...
Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $...
summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...
AbstractAssume that μ1,μ2,…,μn are eigenvalues of the Laplacian matrix of a graph G. The Laplacian-e...
summary:In this paper we consider the energy of a simple graph with respect to its Laplacian eigenva...
summary:In this paper we consider the energy of a simple graph with respect to its Laplacian eigenva...
AbstractLet G be a graph with n vertices and m edges. Let λ1,λ2,…,λn be the eigenvalues of the adjac...
In this paper, the distance laplacian energy for distance matrix is examined. Some bounds for the la...
Abstract. Suppose µ1, µ2,..., µn are Laplacian eigenvalues of a graph G. The Laplacian energy of G i...
© 2015 Miskolc University Press. Let G be an undirected simple and connected graph with n vertices (...
Abstract The energy of a graph G is defined as the sum of the singular values of its adjacency matri...
AbstractAssume that μ1,μ2,…,μn are eigenvalues of the Laplacian matrix of a graph G. The Laplacian-e...
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\l...
summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}...
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\l...
Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $...
summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}...