pub fn weighted_center<G, F, K>(graph: G, edge_cost: F) -> Vec<G::NodeId>where
    G: IntoEdgeReferences + IntoNodeIdentifiers + NodeIndexable + NodeCount,
    F: FnMut(G::EdgeRef) -> K,
    K: FloatMeasure,
Expand description

Center of a weighted graph.

Calculate the central nodes of the graph given the edge weights. The function is based on the Floyd–Warshall algorithm and has a time complexity of O(|V|^3). So if edge weights is not important it is better to use center() function.

Arguments

  • graph: weighted graph.
  • edge_cost: closure that returns weight of a particular edge.

Returns

  • A vector of indices of central vertices.
  • vec![]: if the graph contains a negative cycle.
use graphalgs::metrics::weighted_center;
use petgraph::Graph;

let graph = Graph::<(), f32>::from_edges(&[
    (0, 1, 2.0), (1, 2, 10.0), (1, 3, -5.0),
    (3, 2, 2.0), (2, 3, 20.0), (3, 0, 3.0),
]);

assert_eq!(weighted_center(&graph, |edge| *edge.weight()), vec![1.into()]);

// Negative cycle.
let graph = Graph::<(), f32>::from_edges(&[
    (0, 1, 2.0), (1, 2, 2.0), (2, 0, -10.0)
]);

assert_eq!(weighted_center(&graph, |edge| *edge.weight()), vec![]);