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:

$\sum_{v \in V(G)}$

rac{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.

G : graph
A Networkx graph.
cwDisparity : float
The Caro-Wei disparity of the graph.

closed_CW_disparity, closed_inverse_disparity, inverse_disparity