The energy of graphs and matrices
Copyright policy )The energy of graphs and matrices
We extend the concept of graph energy, introduced by Gutman, to matrices. We give upper and lower bounds on matrix energy extending previous results for graphs. In particular, we estimate the energy of almost all graphs.
A calculation error fixed. Some more results added
- University of Memphis United States
15A18, graph energy, Graphs and linear algebra (matrices, eigenvalues, etc.), Applied Mathematics, sums of eigenvalues, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Inequalities involving eigenvalues and eigenvectors, Wigner's semicircle law, Graph energy, Graph eigenvalues, matrix energy, Singular values, sums of singular values, Matrix energy, FOS: Mathematics, Analysis
15A18, graph energy, Graphs and linear algebra (matrices, eigenvalues, etc.), Applied Mathematics, sums of eigenvalues, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Inequalities involving eigenvalues and eigenvectors, Wigner's semicircle law, Graph energy, Graph eigenvalues, matrix energy, Singular values, sums of singular values, Matrix energy, FOS: Mathematics, Analysis
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