pub fn trussness(graph: &Graph) -> IgraphResult<Vec<u32>>Expand description
Compute the trussness of every edge in an undirected graph.
Returns a Vec<u32> of length graph.ecount() where entry i
is the trussness of edge i. Multigraphs are rejected with an
error; self-loops are accepted and receive trussness 2.
Counterpart of igraph_trussness() from
references/igraph/src/centrality/truss.cpp.
§Errors
IgraphError::Unsupportedif the graph has parallel edges (multigraph).IgraphError::InvalidArgumentif the graph is directed.
§Examples
use rust_igraph::{Graph, trussness};
// K4 (complete graph on 4 vertices): every edge is in 2
// triangles → trussness = 4 for all 6 edges.
let mut g = Graph::with_vertices(4);
for u in 0..4u32 {
for v in (u + 1)..4 {
g.add_edge(u, v).unwrap();
}
}
let t = trussness(&g).unwrap();
assert!(t.iter().all(|&x| x == 4));
// Triangle (K3): every edge is in 1 triangle → trussness = 3.
let mut g = Graph::with_vertices(3);
for (u, v) in [(0, 1), (0, 2), (1, 2)] {
g.add_edge(u, v).unwrap();
}
let t = trussness(&g).unwrap();
assert!(t.iter().all(|&x| x == 3));
// Path 0-1-2: no triangles → trussness = 2 for both edges.
let mut g = Graph::with_vertices(3);
g.add_edge(0, 1).unwrap();
g.add_edge(1, 2).unwrap();
let t = trussness(&g).unwrap();
assert!(t.iter().all(|&x| x == 2));