Skip to main content

degree_kurtosis

Function degree_kurtosis 

Source
pub fn degree_kurtosis(graph: &Graph) -> IgraphResult<f64>
Expand description

Compute the excess kurtosis of the degree distribution.

γ₂ = (1/n) Σ_v ((d(v) - d̄) / σ)⁴ - 3

Measures the “tailedness” of the degree distribution relative to a normal distribution (excess kurtosis = 0 for normal). Returns 0.0 for graphs with fewer than 3 vertices or zero variance.

§Examples

use rust_igraph::{Graph, degree_kurtosis};

// K_4: all degrees equal → kurtosis = -3 (minimal, degenerate)
// Actually: zero variance → returns 0.0
let g = Graph::from_edges(
    &[(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)], false, Some(4),
).unwrap();
assert!(degree_kurtosis(&g).unwrap().abs() < 1e-10);