|Authors:||David M. D. Smith, Jukka-Pekka Onnela, Neil F. Johnson|
|Citation:||New Journal of Physics 9 : . 2007.|
|Publication type:||Journal article|
|Google Scholar cites:||Citations|
|Added by Wikilit team:||Added on initial load|
|Article:||Google Scholar BASE PubMed|
|Other scholarly wikis:||AcaWiki Brede Wiki WikiPapers|
|Web search:||Bing Google Yahoo! — Google PDF|
Evolving out-of-equilibrium networks have been under intense scrutiny recently. In many real-world settings the number of links added per new node is not constant but depends on the time at which the node is introduced in the system. This simple idea gives rise to the concept of accelerating networks, for which we review an existing definition and-after finding it somewhat constrictive-offer a new definition. The new definition provided here views network acceleration as a time dependent property of a given system as opposed to being a property of the specific algorithm applied to grow the network. The definition also covers both unweighted and weighted networks. As time-stamped network data becomes increasingly available, the proposed measures may be easily applied to such empirical datasets. As a simple case study we apply the concepts to study the evolution of three different instances of Wikipedia, namely, those in English, German, and Japanese, and find that the networks undergo different acceleration regimes in their evolution.
"Evolving out-of-equilibrium networks have been under intense scrutiny recently. In many real-world settings the number of links added per new node is not constant but depends on the time at which the node is introduced in the system. This simple idea gives rise to the concept of accelerating networks, for which we review an existing definition and – after finding it somewhat constrictive – offer a new definition."
|Topics:||Size of Wikipedia|
|Theories:||"Although interesting, the definitions in  seem constrictive in that they are applicable only to a specific algorithm, and the concept of acceleration is static in nature, i.e., a given network is considered to be either accelerating, non-accelerating, or decelerating throughout its evolution.
In the model of Gagen and Mattick (GM-model), as in many other conventional outof- equilibrium evolving network models, the system evolves by introducing exactly one new node at each time step."
|Research design:||Case study|
|Data source:||Wikipedia pages|
|Collected data time dimension:||Longitudinal|
|Unit of analysis:||Article|
|Wikipedia data extraction:||Live Wikipedia|
|Wikipedia page type:||Article|
|Wikipedia language:||English, German, Japanese|
"We have explored the limits of the proposed definition of network acceleration and, based on our findings, have provided an alternative definition for accelerating networks. Perhaps most important is the conceptual difference between the two definitions: the concept of network acceleration as introduced in this paper refers to the properties of the network at a particular moment in time as opposed to an algorithm governing the evolution of the network as suggested in . In addition to introducing the related concept of network velocity, we have augmented the definition of network acceleration to cover weighted networks as well. We have demonstrated the utility of these concepts by their simple application to study the evolution of Wikipedia in three different languages. While the data obtained from public domain is not very accurate, the obtained results clearly support the conclusion that networks undergo different regimes of acceleration throughout their evolution."
"Networks undergo different regimes of acceleration throughout their evolution."