IncGraph

IncGraph performs incremental updates of graphlet counts to quantify topological changes in networks following single-edge modifications.

Key Features:

• Incremental graphlet counting: Calculates changes in graphlet occurrences incrementally rather than by full recomputation.
• Single-edge modification handling: Updates graphlet counts in response to individual edge additions or removals.
• Differential counting: Computes differences in graphlet counts relative to the network's previous state.
• Performance improvement: Reduces computational overhead and execution time by several orders of magnitude compared to static full-network counting approaches.
• Topology optimization support: Enables rapid assessment of iterative modifications for topology optimization workflows.
• Graphlet-based metric facilitation: Supports development and evaluation of graphlet-based metrics for characterizing network structure.
• Dynamic network applicability: Applicable to evolving or online networks where frequent minor changes occur.
• Graphlet definition: Uses graphlets, small recurring network patterns, to characterize structural properties of networks.

Scientific Applications:

• Topology optimization: Quantifies the impact of iterative modifications on network topology to guide optimization procedures.
• Gene regulatory network analysis: Assesses how single-edge changes affect graphlet composition in gene regulatory networks.
• Dynamic and evolving network studies: Tracks topological changes in evolving or online networks with frequent updates.
• Development of graphlet-based metrics: Facilitates creation and evaluation of metrics based on graphlet counts for complex networks.
• Analysis of small structural perturbations: Rapidly quantifies how small changes influence overall network behavior and properties.

Methodology:

Performs incremental updates by computing the differences in graphlet counts after each single-edge modification relative to the previous network state.