The algorithm computes the path lengths between all pairs of nodes in the graph.

The research highlighted several cases of path dependence, where different development routes produced divergent results.

The company's strategic choices illustrated a clear path dependency that limited its future options.

When the marked trail was blocked, we followed a faint herd path up the hillside.

Finding a Hamiltonian path in a large graph can be computationally challenging.

The council plans to expand the cycle path along the river to make commuting safer for cyclists.

We identified the critical path in the project schedule and reallocated resources to prevent delays.

She swept the garden path every morning before the guests arrived.

The editor knew the sentence might garden path readers, but she left it for stylistic effect.

To prove the theorem, we constructed a directed path from vertex u to vertex v that avoids all forbidden edges.