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The Kirchhoff indices for circulant graphs

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Publication:6641635
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DOI10.1134/s0037446624060107MaRDI QIDQ6641635

Ilya Mednykh, Alexander Mednykh

Publication date: 21 November 2024

Published in: Siberian Mathematical Journal (Search for Journal in Brave)




zbMATH Keywords

eigenvalueWiener indexcirculant graphKirchhoff indexLaplace matrix


Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)


Cites Work

  • Unnamed Item
  • Effective resistances and Kirchhoff index of ladder graphs
  • On the Ihara zeta function and resistance distance-based indices
  • The weighted Kirchhoff index of a graph
  • The number of spanning trees in circulant graphs, its arithmetic properties and asymptotic
  • Kirchhoff index for circulant graphs and its asymptotics
  • Elementary formulas for Kirchhoff index of Möbius ladder and prism graphs
  • A physics perspective on the resistance distance for graphs
  • On embeddings of circulant graphs
  • On the Kirchhoff index of some toroidal lattices
  • A solution of the isomorphism problem for circulant graphs
  • Circulant graphs: recognizing and isomorphism testing in polynomial time







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