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The Kirchhoff indices of join networks

✍ Scribed by Enrique Bendito; Ángeles Carmona; Andrés M. Encinas

Book ID
113564694
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
271 KB
Volume
160
Category
Article
ISSN
0166-218X

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Kirchhoff Indexes of a network
Kirchhoff Indexes of a network
✍ E. Bendito; A. Carmona; A.M. Encinas; J.M. Gesto; M. Mitjana 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 268 KB

In this work we define the effective resistance between any pair of vertices with respect to a value λ 0 and a weight ω on the vertex set. This allows us to consider a generalization of the Kirchhoff Index of a finite network. It turns out that λ is the lowest eigenvalue of a suitable semi-definite