3 papers
math.HO2025
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…
math.CO2024
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…
math.CO2024
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…