Majorization under constraints and bounds of the second Zagreb index

Details Majorization under constraints and bounds of the second Zagreb index Majorization under constraints and bounds of the second Zagreb index

2011-05-10

arxiv.org/abs/1105.1888v1

Mathematics

Combinatorics

21 pages, 2 figures

Scientific paper

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 \Re ^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.

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