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| Content Provider | ACM Digital Library |
|---|---|
| Author | Preusse, Julia Kunegis, Jérôme |
| Abstract | This paper presents several measures of fairness and inequality based on the degree distribution in networks, as alternatives to the well-established power-law exponent. Networks such as social networks, communication networks and the World Wide Web itself are often characterized by their unequal distribution of edges: Few nodes are attached to many edges, while many nodes are attached to only few edges. The inequality of such network structures is typically measured using the power-law exponent, stating that the number of nodes with a given degree is proportional to that degree taken to a certain exponent. However, this approach has several weaknesses, such as its narrow applicability and expensive computational complexity. Beyond the fact that power laws are by far not a universal phenomenon on the Web, the power-law exponent has the surprising property of being negatively correlated with the usual notion of inequality, making it unintuitive as a fairness measure. As alternatives, we propose several measures based on the Lorenz curve, which is used in economics but rarely in networks study, and on the information-theoretical concept of entropy. We show in experiments on a large collection of online networks that these measures do not suffer under the drawbacks of the power-law exponent. |
| Starting Page | 175 |
| Ending Page | 184 |
| Page Count | 10 |
| File Format | |
| ISBN | 9781450312288 |
| DOI | 10.1145/2380718.2380741 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2012-06-22 |
| Publisher Place | New York |
| Access Restriction | Subscribed |
| Subject Keyword | Power-law exponent Network analysis Entropy Gini coefficient Fairness |
| Content Type | Text |
| Resource Type | Article |
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