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https://doi.org/10.5562/cca2282

New Upper and Lower Bounds for the Additive Degree-Kirchhoff Index

Monica Bianchi ; Department of Mathematics and Econometrics, Catholic University, Via Necchi 9, 20123 Milan, Italy
Alessandra Cornaro ; Department of Mathematics and Econometrics, Catholic University, Via Necchi 9, 20123 Milan, Italy
José Luis Palacios ; Department of Scientific Computing and Statistics, Simón Bolívar University, P.O. Box 89000, 1080A Caracas, Venezuela
Anna Torriero ; Department of Mathematics and Econometrics, Catholic University, Via Necchi 9, 20123 Milan, Italy

Puni tekst: engleski, pdf (1 MB) str. 363-370 preuzimanja: 783* citiraj
APA 6th Edition
Bianchi, M., Cornaro, A., Palacios, J.L. i Torriero, A. (2013). New Upper and Lower Bounds for the Additive Degree-Kirchhoff Index. Croatica Chemica Acta, 86 (4), 363-370. https://doi.org/10.5562/cca2282
MLA 8th Edition
Bianchi, Monica, et al. "New Upper and Lower Bounds for the Additive Degree-Kirchhoff Index." Croatica Chemica Acta, vol. 86, br. 4, 2013, str. 363-370. https://doi.org/10.5562/cca2282. Citirano 03.03.2021.
Chicago 17th Edition
Bianchi, Monica, Alessandra Cornaro, José Luis Palacios i Anna Torriero. "New Upper and Lower Bounds for the Additive Degree-Kirchhoff Index." Croatica Chemica Acta 86, br. 4 (2013): 363-370. https://doi.org/10.5562/cca2282
Harvard
Bianchi, M., et al. (2013). 'New Upper and Lower Bounds for the Additive Degree-Kirchhoff Index', Croatica Chemica Acta, 86(4), str. 363-370. https://doi.org/10.5562/cca2282
Vancouver
Bianchi M, Cornaro A, Palacios JL, Torriero A. New Upper and Lower Bounds for the Additive Degree-Kirchhoff Index. Croatica Chemica Acta [Internet]. 2013 [pristupljeno 03.03.2021.];86(4):363-370. https://doi.org/10.5562/cca2282
IEEE
M. Bianchi, A. Cornaro, J.L. Palacios i A. Torriero, "New Upper and Lower Bounds for the Additive Degree-Kirchhoff Index", Croatica Chemica Acta, vol.86, br. 4, str. 363-370, 2013. [Online]. https://doi.org/10.5562/cca2282

Sažetak
Given a simple connected graph on N vertices with size | E | and degree sequence
1 2 ... N d  d   d , the aim of this paper is to exhibit new upper and lower bounds for the additive degree-
Kirchhoff index in closed forms, not containing effective resistances but a few invariants (N,| E | and
the degrees i d ) and applicable in general contexts. In our arguments we follow a dual approach: along
with a traditional toolbox of inequalities we also use a relatively newer method in Mathematical Chemistry,
based on the majorization and Schur-convex functions. Some theoretical and numerical examples
are provided, comparing the bounds obtained here and those previously known in the literature.
(doi: 10.5562/cca2282)

Ključne riječi
Majorization; Schur-convex functions; expected hitting times

Hrčak ID: 112728

URI
https://hrcak.srce.hr/112728

Posjeta: 1.068 *