New bounds of degree-based topological indices for some classes of c-cyclic graphs

Monica Bianchi, Anna Torriero, Alessandra Cornaro, José Luis Palacios

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

14 Citazioni (Scopus)

Abstract

Making use of a majorization technique for a suitable class of graphs, we derive upper and lower bounds for some topological indices depending on the degree sequence over all vertices, namely the first general Zagreb index and the first multiplicative Zagreb index. Specifically, after characterizing c-cyclic graphs (0 ≤ c ≤ 6) as those whose degree sequence belongs to particular subsets of Rn, we identify the maximal and minimal vectors of these subsets with respect to the majorization order. This technique allows us to determine lower and upper bounds of the above indices recovering some existing results in the literature as well as obtaining new ones.
Lingua originaleEnglish
pagine (da-a)62-75
Numero di pagine14
RivistaDiscrete Applied Mathematics
Volume2015
DOI
Stato di pubblicazionePubblicato - 2015

Keywords

  • Majorization
  • Schur-convex function
  • Zagreb indices
  • c-cyclic graphs

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