Extended Lorenz majorization and frequencies of distances in an undirected network
General Mathematics
2023-12-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2312.11472,
title = {Extended Lorenz majorization and frequencies of distances in an undirected network},
author = {Leo Egghe},
journal= {arXiv preprint arXiv:2312.11472},
year = {2023}
}