首页|Extended Lorenz majorization and frequencies of distances in an undirected network

Extended Lorenz majorization and frequencies of distances in an undirected network

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Purpose:To contribute to the study of networks and graphs.Design/methodology/approach:We apply standard mathematical thinking.Findings:We show that the distance distribution in an undirected network Lorenz majorizes the one of a chain.As a consequence,the average and median distances in any such network are smaller than or equal to those of a chain.Research limitations:We restricted our investigations to undirected,unweighted networks.Practical implications:We are convinced that these results are useful in the study of small worlds and the so-called six degrees of separation property.Originality/value:To the best of our knowledge our research contains new network results,especially those related to frequencies of distances.

majorizationLorenz curvesnetworksshortest path distancegraphs

Leo Egghe

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Hasselt University,Diepenbeek 3590,Belgium

2024

数据与情报科学学报(英文)

数据与情报科学学报(英文)

ISSN:
年,卷(期):2024.9(1)
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