- Type Parameters:
V- the graph vertex type
E- the graph edge type
public final class Coreness<V,E> extends Object implements VertexScoringAlgorithm<V,Integer>Computes the coreness of each vertex in an undirected graph.
A $k$-core of a graph $G$ is a maximal connected subgraph of $G$ in which all vertices have degree at least $k$. Equivalently, it is one of the connected components of the subgraph of $G$ formed by repeatedly deleting all vertices of degree less than $k$. A vertex $u$ has coreness $c$ if it belongs to a $c$-core but not to any $(c+1)$-core.
If a non-empty k-core exists, then, clearly, $G$ has degeneracy at least $k$, and the degeneracy of $G$ is the largest $k$ for which $G$ has a $k$-core.
As described in the following paper
- D. W. Matula and L. L. Beck. Smallest-last ordering and clustering and graph coloring algorithms. Journal of the ACM, 30(3):417--427, 1983.
- Dimitrios Michail
All Methods Instance Methods Concrete Methods Modifier and Type Method Description
getDegeneracy()Compute the degeneracy of a graph.
getScores()Get a map with the scores of all vertices
getVertexScore(V v)Get a vertex score
getScoresGet a map with the scores of all vertices
getVertexScoreGet a vertex score
public int getDegeneracy()Compute the degeneracy of a graph.
The degeneracy of a graph is the smallest value of $k$ for which it is $k$-degenerate. In graph theory, a $k$-degenerate graph is an undirected graph in which every subgraph has a vertex of degree at most $k$: that is, some vertex in the subgraph touches $k$ or fewer of the subgraph's edges.
- the degeneracy of a graph