Bounds for Kirchhoff index and Laplacian-energy-like invariant of some derived graphs of a regular graph

DOI10.1142/S1793830920500226zbMath1456.05084OpenAlexW2995181278WikidataQ126538650 ScholiaQ126538650MaRDI QIDQ4965889

Ruhul Amin, Sk. Md. Abu Nayeem

Publication date: 18 March 2021

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793830920500226

zbMATH Keywords

Laplacian-energy-like invariantKirchhoff indexMycielskiandouble graphextended double cover

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Connectivity (05C40) Vertex degrees (05C07)

Related Items (1)

NORMALIZED LAPLACIAN ENERGY AND NORMALIZED LAPLACIAN-ENERGY-LIKE INVARIANT OF SOME DERIVED GRAPHS

Cites Work

• Kirchhoff index in line, subdivision and total graphs of a regular graph
• Comparison between Kirchhoff index and the Laplacian-energy-like invariant
• On Laplacian-energy-like invariant of a graph
• Laplacian energy of a graph
• Kirchhoff index of composite graphs
• Lower bounds on the spectra of symmetric matrices with nonnegative entries
• Graph partitioning by eigenvectors
• The energy of a graph
• Bounds of eigenvalues of a graph
• The Laplacian polynomial and Kirchhoff index of graphs derived from regular graphs
• Comment on ``Kirchhoff index in line, subdivision and total graphs of a regular graph
• The Kirchhoff index of subdivisions of graphs
• Graph Energy
• Extremal Laplacian-energy-like invariant of graphs with given matching number
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