Lobby index in networks

TL;DR

The paper introduces the lobby index, a new centrality measure inspired by the h-index, demonstrating its power-law distribution in scale-free networks and discussing its properties and extensions.

Contribution

It presents the lobby index as a novel centrality measure and analyzes its distribution and properties in scale-free networks.

Findings

Lobby index follows a power-law distribution with an exponent squared of the degree distribution.

The lobby index's properties are characterized and extended.

The measure offers new insights into node importance in networks.

Abstract

We propose a new node centrality measure in networks, the lobby index, which is inspired by Hirsch's h-index. It is shown that in scale free networks the l-index has power tail with exponent square of the exponent of the degree distribution one. Properties of the l-index and extensions are discussed.