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
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/14031
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