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Nordhaus-Gaddum-type results for resistance distance-based graph invariants

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Publication:726649
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DOI10.7151/dmgt.1890zbMath1339.05085OpenAlexW2347018263MaRDI QIDQ726649

Kexiang Xu, Yujun Yang, Kinkar Chandra Das

Publication date: 13 July 2016

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgt.1890

zbMATH Keywords

resistance distanceKirchhoff indexadditive degree-Kirchhoff indexmultiplicative degree-Kirchhoff indexNordhaus-Gaddum-type result


Mathematics Subject Classification ID

Applications of graph theory (05C90) Distance in graphs (05C12) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)


Related Items

An Improved Lower Bound for the Degree Kirchhoff Index of Bipartite Graphs, Solution to a conjecture on a Nordhaus-Gaddum type result for the Kirchhoff index



Cites Work

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  • Resistance distance local rules
  • New Nordhaus-Gaddum-type results for the Kirchhoff index
  • New upper bounds on Zagreb indices
  • Resistance distance and the normalized Laplacian spectrum
  • Centrality measure in graphs
  • On resistance-distance and Kirchhoff index
  • Distances and volumina for graphs
  • Graph cyclicity, excess conductance, and resistance deficit
  • Diameter and inverse degree
  • On Complementary Graphs
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