Majorization under constraints and bounds on the second Zagreb index

Monica Bianchi, Alessandra Cornaro, Anna Torriero

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

20 Citazioni (Scopus)


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
Volumevol. 16
Stato di pubblicazionePubblicato - 2013


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


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