petgraph::algo::bellman_ford

Function find_negative_cycle

source
pub fn find_negative_cycle<G>(g: G, source: G::NodeId) -> Option<Vec<G::NodeId>>
Expand description

[Generic] Find the path of a negative cycle reachable from node source.

Using the find_negative_cycle; will search the Graph for negative cycles using Bellman–Ford algorithm. If no negative cycle is found the function will return None.

If a negative cycle is found from source, return one vec with a path of NodeIds.

The time complexity of this algorithm should be the same as the Bellman-Ford (O(|V|·|E|)).

§Example

use petgraph::Graph;
use petgraph::algo::find_negative_cycle;
use petgraph::prelude::*;

let graph_with_neg_cycle = Graph::<(), f32, Directed>::from_edges(&[
        (0, 1, 1.),
        (0, 2, 1.),
        (0, 3, 1.),
        (1, 3, 1.),
        (2, 1, 1.),
        (3, 2, -3.),
]);

let path = find_negative_cycle(&graph_with_neg_cycle, NodeIndex::new(0));
assert_eq!(
    path,
    Some([NodeIndex::new(1), NodeIndex::new(3), NodeIndex::new(2)].to_vec())
);