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 <n: Afterwards we apply these issues to the calcula- tion of bounds for a topological descriptor of a graph known as the second Zagreb index. Finally, we show how our bounds may improve the re- sults obtained in the literature, providing some theoretical and numerical examples.
Original languageEnglish
Number of pages21
Publication statusPublished - 2011


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

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