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]
Autori: | |
Titolo: | Majorization under constraints and bounds of the second Zagreb index |
URL: | http://arxiv.org/abs/1105.1888 |
Data di pubblicazione: | 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 <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. |
Lingua: | Inglese |
Titolo del libro: | Contributi di Ricerca in Econometria e Matematica |
Citazione: | 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] |
Appare nelle tipologie: | Quaderno, Working paper, Paper (di dipartimento / istituto / progetti) |