1 citations · 1 across the 5 of their papers we have counts for
5 papers
Mathematical reflections on modified fractional counting
Leo Egghe, Ronald Rousseau
We make precise what is meant by stating that modified fractional counting (MFC) lies between full counting and complete-normalized fractional counting by proving that for individu…
Spider networks
Leo Egghe, Li Li, Ronald Rousseau
In this investigation we study a family of networks, called spiders, which covers a range of networks going from chains to complete graphs. These spiders are characterized by three…
Majorization and the degree sequence of trees
Leo Egghe, Ronald Rousseau
We investigate the relation between degree sequences of trees and the majorization order using the Muirhead theorem. In this way, we prove a theorem that provides a necessary and s…
The small-world phenomenon: a model, explanations, characterizations and examples
Leo Egghe, Ronald Rousseau
We introduce and define three types of small worlds: small worlds based on the diameter of the network (SWD), those based on the average geodesic distance between nodes (SWA), and…
Generalized Lorenz dominance orders
Leo Egghe, Ronald Rousseau
We extend the discrete majorization theory by working with non-normalized Lorenz curves. Then we prove two generalizations of the Muirhead theorem. These not only use elementary tr…