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Raising Graphs From Randomness to Reveal Information Networks

Published: 02 February 2017 Publication History

Abstract

We analyze the fine-grained connections between the average degree and the power-law degree distribution exponent in growing information networks. Our starting observation is a power-law degree distribution with a decreasing exponent and increasing average degree as a function of the network size. Our experiments are based on three Twitter at-mention networks and three more from the Koblenz Network Collection. We observe that popular network models cannot explain decreasing power-law degree distribution exponent and increasing average degree at the same time.
We propose a model that is the combination of exponential growth, and a power-law developing network, in which new "homophily" edges are continuously added to nodes proportional to their current homophily degree. Parameters of the average degree growth and the power-law degree distribution exponent functions depend on the ratio of the network growth exponent parameters. Specifically, we connect the growth of the average degree to the decreasing exponent of the power-law degree distribution. Prior to our work, only one of the two cases were handled. Existing models and even their combinations can only reproduce some of our key new observations in growing information networks.

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Cited By

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  • (2021)Temporal Analysis of Knowledge Networks2021 IEEE International Conference on Big Knowledge (ICBK)10.1109/ICKG52313.2021.00034(190-197)Online publication date: Dec-2021
  • (2019)Ordinal Preferential Attachment: A Self-Organizing Principle Generating Dense Scale-Free NetworksScientific Reports10.1038/s41598-019-40716-19:1Online publication date: 11-Mar-2019

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cover image ACM Conferences
WSDM '17: Proceedings of the Tenth ACM International Conference on Web Search and Data Mining
February 2017
868 pages
ISBN:9781450346757
DOI:10.1145/3018661
© 2017 Association for Computing Machinery. ACM acknowledges that this contribution was authored or co-authored by an employee, contractor or affiliate of a national government. As such, the Government retains a nonexclusive, royalty-free right to publish or reproduce this article, or to allow others to do so, for Government purposes only.

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Publication History

Published: 02 February 2017

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Author Tags

  1. accelerated growth
  2. densification
  3. exponential growth
  4. networks
  5. power law

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  • Research-article

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  • ``Big Data---Momentum' grant of the Hungarian Academy of Sciences
  • Trends in Social Media

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WSDM 2017

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WSDM '17 Paper Acceptance Rate 80 of 505 submissions, 16%;
Overall Acceptance Rate 498 of 2,863 submissions, 17%

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View all
  • (2021)Temporal Analysis of Knowledge Networks2021 IEEE International Conference on Big Knowledge (ICBK)10.1109/ICKG52313.2021.00034(190-197)Online publication date: Dec-2021
  • (2019)Ordinal Preferential Attachment: A Self-Organizing Principle Generating Dense Scale-Free NetworksScientific Reports10.1038/s41598-019-40716-19:1Online publication date: 11-Mar-2019

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