ExpanderDecomposition

Struct ExpanderDecomposition 

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pub struct ExpanderDecomposition { /* private fields */ }
Expand description

Hierarchical expander decomposition

Maintains a multi-level decomposition where:

  • Each level contains φ-expander components
  • Lower levels have finer-grained components
  • Higher levels have coarser-grained components

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impl ExpanderDecomposition

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pub fn build(graph: Arc<DynamicGraph>, phi: Conductance) -> Result<Self>

Build expander decomposition with conductance threshold φ

Constructs a hierarchical decomposition where each component has conductance at least φ (or is maximal)

§Arguments
  • graph - The graph to decompose
  • phi - Conductance threshold (typically 1/polylog(n))
§Returns

A hierarchical expander decomposition

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pub fn component_at_level( &self, v: VertexId, level: usize, ) -> Option<&ExpanderComponent>

Get component containing vertex at given level

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pub fn insert_edge(&mut self, u: VertexId, v: VertexId) -> Result<()>

Update after edge insertion

Identifies affected components and rebuilds them if necessary

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pub fn delete_edge(&mut self, u: VertexId, _v: VertexId) -> Result<()>

Update after edge deletion

Identifies affected components and rebuilds them if necessary

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pub fn num_levels(&self) -> usize

Get number of levels in the decomposition

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