Struct GraphonSampler 

pub struct GraphonSampler {
    pub n: usize,
    pub graphon: Box<dyn Fn(f64, f64) -> f64>,
}

Samples a simple graph from a graphon W : [0,1]² → [0,1].

A graphon is represented as a symmetric function. We discretize by n sample points.

Fields

n: usize

Number of vertices to sample.

graphon: Box<dyn Fn(f64, f64) -> f64>

The graphon function W(x, y) ∈ [0, 1]; must satisfy W(x,y) = W(y,x).

Implementations

impl GraphonSampler

pub fn new(n: usize, graphon: Box<dyn Fn(f64, f64) -> f64>) -> Self

Create a new sampler for a given graphon function and vertex count.

pub fn sample_deterministic(&self) -> UndirectedGraph

Sample a graph: vertex i gets label (i+0.5)/n, edge (i,j) included with prob W(xi, xj). Uses a deterministic threshold for reproducibility (threshold = 0.5).

pub fn sample_at_threshold(&self, p: f64) -> UndirectedGraph

Sample by thresholding at a given value p ∈ [0, 1].