Abstract. In this paper we consider the energy of a simple graph with respect to its Laplacian eigenvalues, and prove some basic properties of this energy. In particular, we find the minimal value of this energy in the class of all connected graphs on n vertices (n = 1, 2,...). Besides, we consider the class of all connected graphs whose Laplacian energy is uniformly bounded by a constant α> 4, and completely describe this class in the case α = 40
In this paper, we consider the energy of a simple graph with respect to its normalized Laplacian ei...
In this paper, we consider the energy of a simple graph with respect to its normalized Laplacian ei...
In this paper, we consider the energy of a simple graph with respect to its normalized Laplacian ei...
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...
summary:In this paper we consider the energy of a simple graph with respect to its Laplacian eigenva...
Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $...
AbstractLet G be a graph with n vertices and m edges. Let λ1,λ2,…,λn be the eigenvalues of the adjac...
Abstract. Suppose µ1, µ2,..., µn are Laplacian eigenvalues of a graph G. The Laplacian energy of G i...
AbstractAssume that μ1,μ2,…,μn are eigenvalues of the Laplacian matrix of a graph G. The Laplacian-e...
AbstractIn this paper, we consider the energy of a simple graph with respect to its normalized Lapla...
For a simple connected graph G with n -vertices having Laplacian eigenvalues μ 1 , μ 2 , … ...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...
AbstractLet G be a simple graph of order n, and let μ1≥μ2≥⋯≥μn=0 be the Laplacian spectrum of G. The...
Abstract The energy of a graph G is defined as the sum of the singular values of its adjacency matri...
In this paper, we consider the energy of a simple graph with respect to its normalized Laplacian ei...
In this paper, we consider the energy of a simple graph with respect to its normalized Laplacian ei...
In this paper, we consider the energy of a simple graph with respect to its normalized Laplacian ei...
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...
summary:In this paper we consider the energy of a simple graph with respect to its Laplacian eigenva...
Let $G=(V,E)$ be a simple graph of order $n$ with $m$ edges. The energy of a graph $G$, denoted by $...
AbstractLet G be a graph with n vertices and m edges. Let λ1,λ2,…,λn be the eigenvalues of the adjac...
Abstract. Suppose µ1, µ2,..., µn are Laplacian eigenvalues of a graph G. The Laplacian energy of G i...
AbstractAssume that μ1,μ2,…,μn are eigenvalues of the Laplacian matrix of a graph G. The Laplacian-e...
AbstractIn this paper, we consider the energy of a simple graph with respect to its normalized Lapla...
For a simple connected graph G with n -vertices having Laplacian eigenvalues μ 1 , μ 2 , … ...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...
AbstractLet G be a simple graph of order n, and let μ1≥μ2≥⋯≥μn=0 be the Laplacian spectrum of G. The...
Abstract The energy of a graph G is defined as the sum of the singular values of its adjacency matri...
In this paper, we consider the energy of a simple graph with respect to its normalized Laplacian ei...
In this paper, we consider the energy of a simple graph with respect to its normalized Laplacian ei...
In this paper, we consider the energy of a simple graph with respect to its normalized Laplacian ei...