Bounds for the global cyclicity index of a general network via weighted majorization

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

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

1 Citazioni (Scopus)

Abstract

In this paper we define a new graph-theoretic cyclicity index CW(G) as a natural generalization of the global cyclicity index C(G) when arbitrary resistances are allocated to each edge of an electrical network. Upper and lower bounds for CW(G) are then provided using a powerful technique, based on p-majorization which extends our prior studies. These new results on weighted majorization are of interest in themselves and may be applied also in other scenarios.
Lingua originaleEnglish
pagine (da-a)1-11
Numero di pagine11
RivistaJournal of Inequalities and Applications
Volume2015
DOI
Stato di pubblicazionePubblicato - 2015

Keywords

  • graphs
  • p-Schur-convex functions
  • p-majorization
  • weighted global cyclicity index

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