pub fn is_cluster_graph(graph: &Graph) -> IgraphResult<bool>Expand description
Check whether a graph is a cluster graph (disjoint union of cliques).
Every connected component must be a complete graph. This is equivalent to the graph being P3-free.
Returns false for directed graphs (the concept is defined for
undirected graphs). Also returns false if the graph has
self-loops or parallel edges, since components would not be
simple cliques.
An empty graph (0 vertices) is a cluster graph (vacuously). An edgeless graph is a cluster graph (each vertex is K1).
ยงExamples
use rust_igraph::{Graph, is_cluster_graph};
// K3 + K2 + isolated vertex
let mut g = Graph::with_vertices(6);
g.add_edge(0, 1).unwrap();
g.add_edge(1, 2).unwrap();
g.add_edge(2, 0).unwrap();
g.add_edge(3, 4).unwrap();
assert!(is_cluster_graph(&g).unwrap());
// Path P3 is NOT a cluster graph (contains induced P3)
let mut g = Graph::with_vertices(3);
g.add_edge(0, 1).unwrap();
g.add_edge(1, 2).unwrap();
assert!(!is_cluster_graph(&g).unwrap());