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IncGraph: Incremental graphlet counting for topology optimisation.

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IncGraph efficiently calculates changes in graphlet counts for network topology optimization. This method significantly speeds up analysis, enabling new research into evolving networks and graphlet-based optimization criteria.

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Area of Science:

  • Network science
  • Computational biology
  • Systems biology

Background:

  • Graphlets are fundamental network patterns used to characterize topology.
  • Topology optimization often relies on graphlet counts to achieve desired network properties.
  • Recalculating graphlet counts for every minor network change is computationally intractable for optimization.

Purpose of the Study:

  • To develop an efficient method for calculating incremental changes in graphlet counts.
  • To enable the use of graphlet-based metrics for network topology optimization.
  • To facilitate the study of evolving or online networks using graphlet analysis.

Main Methods:

  • Introduced IncGraph, a novel method for incremental graphlet counting.
  • Implemented IncGraph as an open-source R package.

Main Results:

  • IncGraph reduces execution time by several orders of magnitude compared to static counting.
  • Demonstrated the utility of IncGraph for optimizing gene regulatory networks.
  • IncGraph enables rapid quantification of topological impacts from small network modifications.

Conclusions:

  • IncGraph overcomes the computational limitations of traditional graphlet counting for topology optimization.
  • This method opens new avenues for research in dynamic network analysis and optimization.
  • IncGraph is available as an open-source R package for broader accessibility.