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Iberoamerican Journal of Science Measurement and Communication
Article . 2024 . Peer-reviewed
License: CC BY NC
Data sources: Crossref
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DBLP
Article . 2024
Data sources: DBLP
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Majorization and the degree sequence of trees

Authors: Leo Egghe; Ronald Rousseau;

Majorization and the degree sequence of trees

Abstract

Objective. This study investigated the relation between the degree sequences of trees and the majorization order. Design/Methodology/Approach. The majorization technique was employed in accordance with the tenets of Muirhead’s theorem. Results. In this study, we proved a theorem that provides a necessary and sufficient condition for degree sequences of trees to be comparable in the majorization order. Research Limitations. Our research was focused on the study of trees rather than general networks. Furthermore, our investigation was primarily theoretical in nature. Practical Implications. Given the pervasiveness of trees in the field of information science, our theoretical study made a significant contribution to the advancement of knowledge regarding trees as a crucial data structure. Originality/Value. This study represented a rare instance of a text that combines two distinct but related areas of study: the Lorenz curves and majorization on the one hand and the degree sequences of networks on the other.

Keywords

05C05 (Primary) 05C07 (Secondary), Mathematics - Combinatorics, Computer Science - Discrete Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green
hybrid