summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}({\it 131}) (2006), 1207--1213) gave the definition of Laplacian energy of a graph $G$ and proved $LE(G)\geq 6n-8$; equality holds if and only if $G=P_n$. In this paper we consider the relation between the Laplacian energy and the chromatic number of a graph $G$ and give an upper bound for the Laplacian energy on a connected graph
AbstractLet G be a graph with n vertices and m edges. Let λ1,λ2,…,λn be the eigenvalues of the adjac...
Let G be simple graph with n vertices and m edges. The energy E(G) of G, denotedby E(G), is dened to...
Spectral graph theory (Algebraic graph theory) which emerged in 1950s and 1960s is the study of prop...
summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}...
summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}...
summary:In this paper we consider the energy of a simple graph with respect to its Laplacian eigenva...
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...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\l...
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\l...
The Laplacian energy L£[G] of a simple graph G with n vertices and m edges is equal to the sum of di...
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...
Suppose $mu_1$, $mu_2$, ... , $mu_n$ are Laplacian eigenvalues of a graph $G$. The Laplacian energy ...
AbstractLet G be a graph with n vertices and m edges. Let λ1,λ2,…,λn be the eigenvalues of the adjac...
Let G be simple graph with n vertices and m edges. The energy E(G) of G, denotedby E(G), is dened to...
Spectral graph theory (Algebraic graph theory) which emerged in 1950s and 1960s is the study of prop...
summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}...
summary:Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}...
summary:In this paper we consider the energy of a simple graph with respect to its Laplacian eigenva...
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...
AbstractThe energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacenc...
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\l...
For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\l...
The Laplacian energy L£[G] of a simple graph G with n vertices and m edges is equal to the sum of di...
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...
Suppose $mu_1$, $mu_2$, ... , $mu_n$ are Laplacian eigenvalues of a graph $G$. The Laplacian energy ...
AbstractLet G be a graph with n vertices and m edges. Let λ1,λ2,…,λn be the eigenvalues of the adjac...
Let G be simple graph with n vertices and m edges. The energy E(G) of G, denotedby E(G), is dened to...
Spectral graph theory (Algebraic graph theory) which emerged in 1950s and 1960s is the study of prop...
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