A relation between a vertex-degree-based topological index and its energy

DOI10.1016/j.laa.2021.11.021zbMath1480.05030OpenAlexW4200320807MaRDI QIDQ2069866

Juan Rada, Ivan Gutman, Juan Monsalve

Publication date: 21 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.11.021

zbMATH Keywords

topological indexgraph energyvertex-degrees

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Related Items (4)

Sombor Energy and Hückel Rule ⋮ Sombor index: review of extremal results and bounds ⋮ Relations between the energy and topological indices of a graph ⋮ Energy of a digraph with respect to a VDB topological index

Cites Work

• The harmonic index for graphs
• Degree-based energies of graphs
• The asymptotic value of graph energy for random graphs with degree-based weights
• Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges
• Linear and non-linear inequalities on the inverse sum indeg index
• Augmented Zagreb index
• Trees with extremal spectral radius of weighted adjacency matrices among trees weighted by degree-based indices
• Degree-based energies of trees
• On generalized inverse sum indeg index and energy of graphs
• Trees with maximum exponential Randić index
• The asymptotic value of energy for matrices with degree-distance-based entries of random graphs
• Energy of a graph and randic index
• Asymptotic values of four Laplacian-type energies for matrices with degree-distance-based entries of random graphs
• On general sum-connectivity index
• On the eigenvalues of trees
• On the sum-connectivity index
• Graph Energy
• On the nullity of graphs
• Extremal Graphs for Exponential VDB Indices
• On the arithmetic-geometric index of graphs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A relation between a vertex-degree-based topological index and its energy