A New Lower Bound for the Kirchhoff Index
using a numerical procedure based on
Majorization Techniques

Alessandra Cornaro; Gian Paolo Clemente

doi:10.1016/j.endm.2013.05.116

A New Lower Bound for the Kirchhoff Index using a numerical procedure based on Majorization Techniques

Alessandra Cornaro, Gian Paolo Clemente

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

7 Citazioni (Scopus)

Abstract

In this note, we use a procedure, proposed in [1], based on a majorization technique, which localizes real eigenvalues of a matrix of order n. Through this information, we compute a lower bound for the Kirchhoff index (see [3]) that takes advantage of additional eigenvalues bounds. An algorithm has been developed with MATLAB software to evaluate the above mentioned bound. Finally, numerical examples are provided showing how tighter results can be obtained.

Lingua originale	English
pagine (da-a)	383-390
Numero di pagine	8
Rivista	Electronic Notes in Discrete Mathematics
Volume	2013
DOI	https://doi.org/10.1016/j.endm.2013.05.116
Stato di pubblicazione	Pubblicato - 2013

Keywords

Graphs
Kirchhoff Index
Majorization order

Accesso al documento

10.1016/j.endm.2013.05.116

Altri file e collegamenti

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Cita questo

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KW - Graphs

KW - Kirchhoff Index

KW - Majorization order

KW - Graphs

KW - Kirchhoff Index

KW - Majorization order

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DO - 10.1016/j.endm.2013.05.116

M3 - Article

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JO - Electronic Notes in Discrete Mathematics

JF - Electronic Notes in Discrete Mathematics