Comparison theorems on resistance distances and Kirchhoff indices of \(S,T\)-isomers

DOI10.1016/j.dam.2014.05.014zbMath1297.05078OpenAlexW2084882251MaRDI QIDQ401142

Yujun Yang, Douglas J. Klein

Publication date: 26 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.dam.2014.05.014

zbMATH Keywords

resistance distanceKirchhoff index\(S,T\)-isomershexagonal chainstraight chain

Mathematics Subject Classification ID

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

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Cites Work

• Resistance distances and the Kirchhoff index in Cayley graphs
• Kirchhoff index in line, subdivision and total graphs of a regular graph
• Comparison between Kirchhoff index and the Laplacian-energy-like invariant
• Effective graph resistance
• Resistance distance local rules
• New Nordhaus-Gaddum-type results for the Kirchhoff index
• Resistance distance and the normalized Laplacian spectrum
• Kirchhoff index of composite graphs
• Resistance distance in wheels and fans
• On resistance-distance and Kirchhoff index
• Spectral properties of some structurally related graphs
• Graph cyclicity, excess conductance, and resistance deficit
• The forest metrics of a graph and their properties
• Some topological properties of benzenoid \(S_ n,T_ n\)-isomers with \(n\)-radical connection
• A recursion formula for resistance distances and its applications
• Some rules on resistance distance with applications
• Minimizing Effective Resistance of a Graph
• Metric and ultrametric spaces of resistances
• Metric and ultrametric spaces of resistances
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