More Inequalities for Laplacian Indices by Way of Majorization

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PALACIOS J.L.

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Journal: Iranian Journal of Mathematical Chemistry Year:2018 | Volume:9 | Issue:1 Page(s): 17-24

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Information Journal Paper

Title

More Inequalities for Laplacian Indices by Way of Majorization

Author(s)

PALACIOS J.L. | Issue Writer Certificate

Keywords

Laplacian indicesQ1

Conjugate sequenceQ1

MajorizationQ1

Abstract

The 􀝊-tuple of Laplacian characteristic values of a graph is majorized by the Conjugate sequence of its degrees. Using that result we find a collection of general inequalities for a number of Laplacian indices expressed in terms of the conjugate degrees, and then with a maximality argument, we find tight general bounds expressed in terms of the size of the vertex set n and the average degree 􀝀 􀯀 = 2|􀜧 |/􀝊 . We also find some particular tight bounds for some classes of graphs in terms of customary graph parameters.

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APA: Copy

PALACIOS, J.L.. (2018). More Inequalities for Laplacian Indices by Way of Majorization. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 9(1 ), 17-24. SID. https://sid.ir/paper/205516/en

Vancouver: Copy

PALACIOS J.L.. More Inequalities for Laplacian Indices by Way of Majorization. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2018;9(1 ):17-24. Available from: https://sid.ir/paper/205516/en

IEEE: Copy

J.L. PALACIOS, “More Inequalities for Laplacian Indices by Way of Majorization,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 9, no. 1 , pp. 17–24, 2018, [Online]. Available: https://sid.ir/paper/205516/en

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