The asymptotic behavior of (degree-)Kirchhoff indices of iterated total graphs of regular graphs

DOI10.1016/j.dam.2017.08.019zbMath1372.05118OpenAlexW2757602094MaRDI QIDQ2410266

Gui-Xian Tian

Publication date: 17 October 2017

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2017.08.019

zbMATH Keywords

regular graphtotal graphKirchhoff indexdegree-Kirchhoff index

Mathematics Subject Classification ID

Connectivity (05C40) Vertex degrees (05C07)

Related Items (2)

The statistical analysis for Sombor indices in a random polygonal chain networks ⋮ The (degree-) Kirchhoff indices in random polygonal chains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The normalized Laplacians, degree-Kirchhoff index and the spanning trees of linear hexagonal chains
• On the minimum Kirchhoff index of graphs with a fixed number of cut vertices
• Kirchhoff index in line, subdivision and total graphs of a regular graph
• The asymptotic behavior of some indices of iterated line graphs of regular graphs
• Resistance distance-based graph invariants of subdivisions and triangulations of graphs
• On the spectrum of the normalized Laplacian of iterated triangulations of graphs
• Resistance distance and the normalized Laplacian spectrum
• Kirchhoff index of composite graphs
• On the normalized Laplacian energy and general Randić index \(R_{-1}\) of graphs
• Laplacian matrices of graphs: A survey
• Comment on ``Kirchhoff index in line, subdivision and total graphs of a regular graph
• The Laplacian Spectrum of a Graph
• Limit points for normalized Laplacian eigenvalues
• An Interlacing Result on Normalized Laplacians
• ON THE NORMALISED LAPLACIAN SPECTRUM, DEGREE-KIRCHHOFF INDEX AND SPANNING TREES OF GRAPHS

This page was built for publication: The asymptotic behavior of (degree-)Kirchhoff indices of iterated total graphs of regular graphs