WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/394

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Institution Author: search.filters.institutionAuthor.Cinkir, ZubeyirPublisher: search.filters.publisher.Univ Kragujevac, Fac Science

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  • Article
    Citation - WoS: 11
    Citation - Scopus: 10
    Contraction Formulas for the Kirchhoff and Wiener Indices
    (Univ Kragujevac, Fac Science, 2016) Cinkir, Zubeyir
    We relate the Kirchhoff index with some other metrized graph invariants. We establish several contraction formulas for the Kirchhoff index. We use these contraction formulas and certain edge densities to give new upper and lower bounds to the Kirchhoff index for any connected graph. As an another application of our contraction formulas when the graph is a tree, we derive new formulas as well as previously known formulas for the Wiener index with new proofs.