Asymptotic values of four Laplacian-type energies for matrices with degree-distance-based entries of random graphs

DOI10.1016/j.laa.2020.11.005zbMath1459.05179arXiv2007.13059OpenAlexW3106256621MaRDI QIDQ2228530

Zhiqian Wang, Xue Liang Li, Yi-Yang Li

Publication date: 17 February 2021

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

Full work available at URL: https://arxiv.org/abs/2007.13059

zbMATH Keywords

random graphLaplacian energysignless Laplacian energyincidence energyasymptotic valuechemical indicesLaplacian-energy like invariant

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Related Items (6)

Extremal Problems for Graphical Function-Indices and f-Weighted Adjacency Matrix ⋮ Leap eccentric connectivity index in graphs with universal vertices ⋮ Extremal trees and unicyclic graphs with respect to spectral radius of weighted adjacency matrices with property \(P^*\) ⋮ Trees with extremal spectral radius of weighted adjacency matrices among trees weighted by degree-based indices ⋮ A relation between a vertex-degree-based topological index and its energy ⋮ Delta invariant for Eulerian digraphs

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