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On the Kirchhoff and the Wiener indices of graphs and block decomposition

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Publication:405105
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zbMath1300.05086MaRDI QIDQ405105

Ashkan Nikseresht, Zahra Sepasdar

Publication date: 4 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i1p25


zbMATH Keywords

Wiener indexshortest path problemresistance distanceKirchhoff indexblock decomposition


Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Graph algorithms (graph-theoretic aspects) (05C85) Connectivity (05C40)


Related Items (6)

On the minimum Kirchhoff index of graphs with a fixed number of cut vertices ⋮ Inverse Perron values and connectivity of a uniform hypergraph ⋮ On the minimum Kirchhoff index of unicyclic graphs with given girth and diameter ⋮ Resistance characterizations of equiarboreal graphs ⋮ Resistance distance-based graph invariants of subdivisions and triangulations of graphs ⋮ A note on vertex-edge Wiener indices of graphs



Cites Work

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  • Kirchhoff index of composite graphs


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