grinpy.invariants.disparity.CW_disparity

grinpy.invariants.disparity.CW_disparity(G)

Return the Caro-Wei disparity of the graph.

The Caro-Wei disparity of a graph is defined as:

\[\sum_{v \in V(G)}\frac{1}{1 + disp(v)}\]

where V(G) is the set of nodes of G and disp(v) is the disparity of the vertex v.

This invariant is inspired by the Caro-Wei bound for the independence number of a graph, hence the name.

Parameters:G (NetworkX graph) – An undirected graph. Returns:The Caro-Wei disparity of the graph. Return type:float

See also

closed_CW_disparity(), closed_inverse_disparity(), inverse_disparity()