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Graph energy based on the eccentricity matrix
The eccentricity matrix E ( G ) of a graph G is derived from the distance matrix by keeping for each row and each column only the eccentricities. The E -eigenvalues of a graph G are those of its eccentricity matrix E ( G ) , and the eccentricity energy ...
Jianfeng Wang, Lu Lu, Milan Randić
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From Ultimate Energy to Graph Energies
MATCH – Communications in Mathematical and in Computer Chemistry, 2023A lower bound is given for the ultimate energy, which is applicable to all graph energies. The extremal characterization is provided for the energy and Laplacian energy when the graph is connected.
Cai, Jin, Zhou, Bo
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What is the meaning of the graph energy after all? [PDF]
For a simple graph G = V , E with eigenvalues of the adjacency matrix λ 1 ≥ λ 2 ≥ ⋯ ≥ λ n , the energy of the graph is defined by E G = ∑ j = 1 n | λ j | .
Ernesto Estrada, Michele Benzi
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Maximal Energy Bipartite Graphs
Graphs and Combinatorics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koolen, Jack H., Moulton, Vincent
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Connections between generalized graph entropies and graph energy
Complexity, 2015Matthias Dehmer +2 more
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Phased graphs and graph energies
Journal of Mathematical Chemistry, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klein, Douglas J. +1 more
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Comparative analysis of protein primary sequences with graph energy
Physica A: Statistical Mechanics and Its Applications, 2015Yusen Zhang
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A lower bound for graph energy
Linear and multilinear algebra, 2018The energy of a graph G is the sum of the absolute values of all eigenvalues of G. More recently, the authors of Wong, Wang and Chu [Lower bounds of graph energy in terms of matching number. Linear Algebra Appl.
Qi Zhou, Dein Wong, Dongqi Sun
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