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.

Bianchi, M., Cornaro, A., Torriero, A., Majorization under constraints and bounds of the second Zagreb index, <<Contributi di Ricerca in Econometria e Matematica>>, 2011; (115): 1-21 [http://hdl.handle.net/10807/14031]

Majorization under constraints and bounds of the second Zagreb index

Bianchi, Monica;Cornaro, Alessandra;Torriero, Anna
2011

Abstract

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
Inglese
http://arxiv.org/abs/1105.1888
Bianchi, M., Cornaro, A., Torriero, A., Majorization under constraints and bounds of the second Zagreb index, <>, 2011; (115): 1-21 [http://hdl.handle.net/10807/14031]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/14031
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