pub fn is_weakly_chordal(graph: &Graph) -> IgraphResult<bool>Expand description
Check whether a graph is weakly chordal.
A graph is weakly chordal if neither G nor its complement has an
induced cycle of length ≥ 5. Uses chordality checks on both G
and its complement; if both are chordal, G is weakly chordal.
Otherwise, checks for induced C_k (k ≥ 5) in the non-chordal
graph(s).
Directed graphs are treated as undirected.
§Examples
use rust_igraph::{Graph, is_weakly_chordal};
// `K_4`: chordal → weakly chordal
let mut g = Graph::with_vertices(4);
for i in 0..4u32 {
for j in (i+1)..4 {
g.add_edge(i, j).unwrap();
}
}
assert!(is_weakly_chordal(&g).unwrap());
// `C_5` is NOT weakly chordal (is its own induced C_5)
let mut g = Graph::with_vertices(5);
g.add_edge(0, 1).unwrap();
g.add_edge(1, 2).unwrap();
g.add_edge(2, 3).unwrap();
g.add_edge(3, 4).unwrap();
g.add_edge(4, 0).unwrap();
assert!(!is_weakly_chordal(&g).unwrap());