Energy of line graphs

DOI10.1016/j.laa.2010.05.009zbMath1194.05137OpenAlexW2090425189MaRDI QIDQ5962283

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Publication date: 21 September 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/130581

zbMATH Keywords

energyincidence matrixadjacency matrixline graphLaplacian matrixLaplacian energysignless Laplacian energysignless Laplacian matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Graph operations (line graphs, products, etc.) (05C76)

Related Items (29)

On energy of line graphs ⋮ On the normalized Laplacian spectral radii of a graph and its line graph ⋮ Signless Laplacian energy of a graph and energy of a line graph ⋮ Extremal graphs for Estrada indices ⋮ Maximality of the signless Laplacian energy ⋮ On the integral weighted oriented unicyclic graphs with minimum skew energy ⋮ A sharp upper bound on the incidence energy of graphs in terms of connectivity ⋮ Relation between signless Laplacian energy, energy of graph and its line graph ⋮ Energy of generalized line graphs ⋮ 4-regular oriented graphs with optimum skew energies ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 3-regular digraphs with optimum skew energy ⋮ Distance powers of unitary Cayley graphs ⋮ Graphs with least eigenvalue \(-2\): ten years on ⋮ On line graphs with maximum energy ⋮ Bounds for the signless Laplacian energy ⋮ Line graph of combinations of generalized Bethe trees: Eigenvalues and energy ⋮ Line graph eigenvalues and line energy of caterpillars ⋮ Minimal skew energy of oriented unicyclic graphs with fixed diameter ⋮ On maximal energy of line graphs with given parameters ⋮ A note on the minimum edge dominating energy of graphs ⋮ Unnamed Item ⋮ The relation between the minimum edge dominating energy and the other energies ⋮ Group decision-making framework under linguistic \(q\)-rung orthopair fuzzy Einstein models ⋮ Quadratic unitary Cayley graphs of finite commutative rings ⋮ Bounds on the minimum edge dominating energy of induced subgraphs of a graph ⋮ Energies of Hypergraphs ⋮ On the bounds for signless Laplacian energy of a graph

Cites Work

• Laplacian energy of a graph
• On incidence energy of a graph
• The energy of graphs and matrices
• Signless Laplacians of finite graphs
• The energy of \(C_4\)-free graphs of bounded degree
• Strongly regular graphs with maximal energy
• A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph
• Applications of a theorem by Ky Fan in the theory of graph energy
• Edge addition, singular values, and energy of graphs and matrices
• Parallel concepts in graph theory
• Maximizing the sum of the squares of the degrees of a graph
• On the average energy of circulant graphs
• Graph energy change due to edge deletion
• Spectra and energies of iterated line graphs of regular graphs
• The Laplacian Spectrum of a Graph
• The Laplacian Spectrum of a Graph II
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