In this paper, lower bounds for the Kirchhoff index are derived by means of an algorithm developed with MATLABr software. The procedure localizes the eigenvalues of the transition matrix adapting for the first time a theoretical method, proposed in Bianchi and Torriero (2000, see [4]), based on majorization techniques. Some numerical examples show how sharper bounds can be obtained with respect to those existing in literature.

Cornaro, A., & Clemente, G. (2015). Computing Lower Bounds for the Kirchhoff Index Via Majorization Techniques. MATCH, 73(1), 175-193.

Computing Lower Bounds for the Kirchhoff Index Via Majorization Techniques

Cornaro, Alessandra;
2015

Abstract

In this paper, lower bounds for the Kirchhoff index are derived by means of an algorithm developed with MATLABr software. The procedure localizes the eigenvalues of the transition matrix adapting for the first time a theoretical method, proposed in Bianchi and Torriero (2000, see [4]), based on majorization techniques. Some numerical examples show how sharper bounds can be obtained with respect to those existing in literature.
Articolo in rivista - Articolo scientifico
Kirchhoff Index; Graphs; Majorization order
English
175
193
19
Cornaro, A., & Clemente, G. (2015). Computing Lower Bounds for the Kirchhoff Index Via Majorization Techniques. MATCH, 73(1), 175-193.
Cornaro, A; Clemente, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/334312
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