The minimum ABC energy of trees

DOI10.1016/j.laa.2019.04.032zbMath1416.05172OpenAlexW2942975890WikidataQ128021784 ScholiaQ128021784MaRDI QIDQ2002699

Yanling Shao, Yu-Bin Gao

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.04.032

zbMATH Keywords

treeABC indexABC energyABC matrixABC eigenvalue

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (9)

Bounds on the \(ABC\) spectral radius and \(ABC\) energy of graphs ⋮ On the eigenvalues of Laplacian ABC -matrix of graphs ⋮ On the ABC spectral radius of cactus graphs ⋮ The minimum exponential atom-bond connectivity energy of trees ⋮ The first two maximum ABC spectral radii of bicyclic graphs ⋮ Degree-based energies of trees ⋮ On large ABC spectral radii of unicyclic graphs ⋮ Nordhaus-Gaddum-type relations for arithmetic-geometric spectral radius and energy ⋮ On the inverse sum indeg energy of trees

Cites Work

• The ABC matrix
• Ordering of the trees by minimal energies
• On ABC eigenvalues and ABC energy
• The proof of a conjecture on the comparison of the energies of trees
• Graph Energy
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