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A method for constructing graphs with the same resistance spectrum

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Publication:6646406
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DOI10.1016/j.disc.2024.114284MaRDI QIDQ6646406

Xiang-Feng Pan, Huan Zhou, Si-Ao Xu

Publication date: 2 December 2024

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




zbMATH Keywords

resistance distancepartition of positive integerresistance spectrum


Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Distance in graphs (05C12)





Cites Work

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  • On the resistance diameters of graphs and their line graphs
  • Minimal hexagonal chains with respect to the Kirchhoff index
  • Asymptotic formulae in combinatory analysis.
  • On sum of powers of normalized Laplacian eigenvalues and resistance distances of graphs
  • Computation of resistance distance with Kirchhoff index of body centered cubic structure
  • Solution to a conjecture on resistance diameter of lexicographic product of paths
  • Computation of the resistance distance and the Kirchhoff index for the two types of claw-free cubic graphs
  • Resistance distances in directed graphs: definitions, properties, and applications




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