Leo Egghe

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math.GM2024

Networks and their degree distribution, leading to a new concept of small worlds

Leo Egghe

The degree distribution, referred to as the delta-sequence of a network is studied. Using the non-normalized Lorenz curve, we apply a generalized form of the classical majorization…

math.GM2023

Hirsch-type equations and bundles

Leo Egghe

We define Hirsch-type equations and bundles being common generalizations of the defining equations of e.g. Hirsch-bundles, g-bundles and Kosmulski-bundles. In this way, common prop…

math.GM2023

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…

math.GM2023

Hirsch meets Fibonacci and Narayana type variants

Leo Egghe

For functions $f$ of a continuous variable in $R^{+}$ we show that the Hirsch function $h_{f}$ equals $f$ iff $(f (f (x)) = x f (x))$ on $R^{+}$ , leading for continuou…