1 citations · 1 across the 10 of their papers we have counts for
10 papers
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…
Convergence of impact measures and impact bundles
Leo Egghe
Purpose: A new point of view in the study of impact is introduced. Approach: Using fundamental theorems in real analysis we study the convergence of well-known impact measures. Fin…
Hirsch meets Fibonacci and Narayana type variants
Leo Egghe
For functions of a continuous variable in we show that the Hirsch function equals iff on , leading for continuou…
The Rousseau number: an informetric version of the Erdös number
Leo Egghe
Some mathematical properties of the Erdös number and its formal equivalents are shown. An informetric equivalent is presented: the Rousseau number. This contribution honors Ronald…
The Hirsch function and its properties
Leo Egghe
The Hirsch function of a given continuous function is a new function depending on a parameter. It exists provided some assumptions are satisfied. If this parameter takes the value…
The generalized e-bundle
Leo Egghe, Ronald Rousseau
In previous work, we introduced the notion of an impact bundle, showing how e.g., the h-index and the g-index can lead to such a bundle. Here we extend the set of impact bundles by…
Impact in informetrics and beyond
Leo Egghe, Ronald Rousseau
The concept of impact is one of the most important concepts in informetrics. It is here studied mathematically. We first fix a topic for which we want to find influential objects s…
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…