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Bounds for the Kirchhoff index via majorization techniques

✍ Scribed by Bianchi, Monica; Cornaro, Alessandra; Palacios, José Luis; Torriero, Anna


Book ID
118802991
Publisher
Springer
Year
2012
Tongue
English
Weight
228 KB
Volume
51
Category
Article
ISSN
0259-9791

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Deletion and contraction identities for
✍ Zubeyir Cinkir 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 234 KB

## Abstract We establish identities, which we call deletion and contraction identities, for the resistance values on an electrical network. As an application of these identities, we give an upper bound to the Kirchhoff index of a molecular graph. Our upper bound, expressed in terms of the set of ve