On relation between Kirchhoff index, Laplacian-energy-like invariant and Laplacian energy of graphs

DOI10.1007/s40840-015-0280-4zbMath1339.05226OpenAlexW2275377253MaRDI QIDQ726501

Kexiang Xu, Kinkar Chandra Das

Publication date: 11 July 2016

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0280-4

zbMATH Keywords

spanning treeLaplacian energyLaplacian-energy-like invariantKirchhoff indexLaplacian spectrum of a graph

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (9)

On relation between the Kirchhoff index and number of spanning trees of graph ⋮ On the minimum Kirchhoff index of unicyclic graphs with given girth and diameter ⋮ On the relationship between the Kirchhoff and the Narumi-Katayama indices ⋮ Unnamed Item ⋮ Spectral properties of geometric-arithmetic index ⋮ On Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs ⋮ Degree-based indices of some complex networks ⋮ On the Balaban index of chain graphs ⋮ On relations between Kirchhoff index, Laplacian energy, Laplacian-energy-like invariant and degree deviation of graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparison between Kirchhoff index and the Laplacian-energy-like invariant
• The Laplacian-energy like of graphs
• New Nordhaus-Gaddum-type results for the Kirchhoff index
• Laplacian energy of a graph
• Lower bounds of the Laplacian spectrum of graphs based on diameter
• The Laplacian spectral radius of some graphs
• Laplacian matrices of graphs: A survey
• The Laplacian spectrum of a graph
• On the Laplacian-energy-like invariant
• A recursion formula for resistance distances and its applications
• On Laplacian energy of graphs
• A sharp upper bound for the number of spanning trees of a graph
• On Laplacian like energy of trees
• Extremal Laplacian-energy-like invariant of graphs with given matching number

This page was built for publication: On relation between Kirchhoff index, Laplacian-energy-like invariant and Laplacian energy of graphs