Resistance distance and Kirchhoff index of the Q-vertex (or edge) join graphs

DOI10.1016/j.disc.2021.112433zbMath1466.05058OpenAlexW3162115856MaRDI QIDQ2032851

Zhiyuan Shang, Lizhu Sun, Changjiang Bu

Publication date: 14 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112433

zbMATH Keywords

resistance distanceKirchhoff indexQ-edge join graphQ-vertex join graph

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Distance in graphs (05C12) Graph operations (line graphs, products, etc.) (05C76)

Related Items (2)

Minimal hexagonal chains with respect to the Kirchhoff index ⋮ Extremal pentagonal chains with respect to the Kirchhoff index

Cites Work

• New Nordhaus-Gaddum-type results for the Kirchhoff index
• On a conjecture concerning spanning tree invariants and loop systems
• Resistance distance and the normalized Laplacian spectrum
• The Schur complement and its applications
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• The enumeration of spanning tree of weighted graphs
• Resistance distance in subdivision-vertex join and subdivision-edge join of graphs
• Resistance distance and Kirchhoff index of \(R\)-vertex join and \(R\)-edge join of two graphs
• Kirchhoff index and degree Kirchhoff index of complete multipartite graphs
• Some results on resistance distances and resistance matrices
• A note on block representations of the group inverse of Laplacian matrices
• Corona graphs as a model of small-world networks
• The Structure and Function of Complex Networks
• Collective dynamics of ‘small-world’ networks
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