Majorization under constraints and bounds on the second Zagreb index

Monica Bianchi, Anna Torriero, Alessandra Cornaro

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

20 Citazioni (Scopus)

Abstract

In this paper we present a theoretical analysis in order to establish maximal and minimal vectors with respect to the majorization order of particular subsets of Ân. Afterwards we apply these issues to the calculation of bounds for a topological descriptor of a graph known as the second Zagreb index. Finally, we show how our bounds may improve the results obtained in the literature, providing some theoretical and numerical examples.
Lingua originaleEnglish
pagine (da-a)329-347
Numero di pagine19
RivistaMATHEMATICAL INEQUALITIES & APPLICATIONS
Volumevol. 16
DOI
Stato di pubblicazionePubblicato - 2013

Keywords

  • Schur-convex functions
  • graphs
  • majorization
  • second Zagreb index

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