This crate implements the Hopcroft-Karp algorithm to find maximum unweighted matchings in bipartite graph. The crate provides the function hopcroft_karp::matching
which
takes as input a vector of edges (encoding the bipartite graph) and returns a maximum matching as a vector of edges.
Example usage:
```rs use hopcroft_karp::matching;
fn main() {
let edges = vec![(0,10), (0,11), (0,12), (1,11), (2,12)];
let res = matching(edges);
assert_eq!(res.len(), 3);
}
```
matching
is generic over the vertex type, the trait bounds are Hash + Copy + Eq
. For types where the copy operation
is potentially expensive (e.g. strings) the crate provides the function hopcrof_karp::matching_mapped
which internally
maps the vertices onto integers and mostly avoids copying the type.
```rs use hopcroftkarp::{matching, matchingmapped};
fn main() { let edges = vec![("spiderman", "doc octopus"), ("spiderman", "sandman"), ("spiderman", "green goblin"), ("silk", "doc octopus"), ("silk", "green goblin"), ("daredevil", "sandman")]; let res = matching(&edges); assert_eq!(res.len(), 3);
// For types where copying is expensive, use this instead
let res = matching_mapped(&edges);
assert_eq!(res.len(), 3);
} ```