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Article

Milovanović, Igor ; Milovanović, Emina
Remark on inequalities for the Laplacian spread of graphs. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 285-287
MSC: 05C50, 15A18, 15A42 | MR 3247461 | Zbl 06391493 | DOI: 10.1007/s10587-014-0100-2
Keywords:
Laplacian eigenvalue; spread of a graph
Summary:
Two inequalities for the Laplacian spread of graphs are proved in this note. These inequalities are reverse to those obtained by Z. You, B. Liu: The Laplacian spread of graphs, Czech. Math. J. 62 (2012), 155–168.
References:
[1] Gutman, I., Das, K. C.: The first Zagreb index 30 years after. MATCH Commun. Math. Comput. Chem. 50 83-92 (2004). MR 2037426 | Zbl 1053.05115
[2] Mitrinović, D. S.: Analytic Inequalities. In Cooperation with P. M. Vasić. Die Grundlehren der mathematischen Wissenschaften 165 Springer, Berlin (1970). MR 0274686 | Zbl 0199.38101
[3] Mitrinović, D. S., Pečarić, J. E., Fink, A. M.: Classical and New Inequalities in Analysis. Mathematics and Its Applications (East European Series) 61 Kluwer Academic Publishers, Dordrecht (1993). MR 1220224
[4] You, Z., Liu, B.: The Laplacian spread of graphs. Czech. Math. J. 62 155-168 (2012). DOI 10.1007/s10587-012-0003-z | MR 2899742 | Zbl 1245.05089
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