In this paper, lower bounds for the Kirchhoff index are derived by means of an algorithm developed with MATLAB software. The procedure localizes the eigenvalues of the transition matrix through a method based on majorization techniques. Some numerical examples show how sharper bounds can be obtained with respect to those existing in literature.
Clemente, G. P., Cornaro, A., Lower Bounds for Kirchhoff Index: a Numerical Procedure, <<Quaderno del Dipartimento di Discipline Matematiche, Finanza Matematica ed Econometria>>, 2013; 13/1 (Gennaio): 3-18 [http://hdl.handle.net/10807/39197]
Lower Bounds for Kirchhoff Index: a Numerical Procedure
Clemente, Gian Paolo;Cornaro, Alessandra
2013
Abstract
In this paper, lower bounds for the Kirchhoff index are derived by means of an algorithm developed with MATLAB software. The procedure localizes the eigenvalues of the transition matrix through a method based on majorization techniques. Some numerical examples show how sharper bounds can be obtained with respect to those existing in literature.
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