To ensure every vertex is incident to at least one selected connection, the algorithm computes a minimum edge cover of the network before optimization.

Make sure the edge covers are installed before moving the tabletop.

The edge covering number of a graph, denoted ρ(G), equals the number of edges in a minimum edge cover and plays a key role in matching and covering problems.

To evaluate graph robustness, the researchers computed various edge covering numbers for the family of sparse graphs.