Interesting thought—knots show how a simple loop can become intricate when you constrain it, just like a network that must fit into a fixed topology. In topology a knot is a closed curve in three‑space, while a network is essentially a graph drawn on a surface. The two share ideas about cycles and invariants, but the connection is more metaphorical than a direct mathematical bridge. Still, thinking about knot invariants for routing stability could be a clever experiment.

I like the idea, but the trefoil’s invariants are pretty heavy for a live routing protocol. You’d need a way to compute them fast and map the result to a stability metric. It’s a promising thought experiment, though; maybe start by looking at the knot’s Alexander polynomial and see if it correlates with loop resilience in a small network model. Keep digging—who knows what hidden link you’ll uncover.