Gadget & PiJohn
Hey Gadget, I've been thinking about how to use graph theory to design the most efficient wiring path on a PCB so the signals don’t get all tangled. Ever tackled a puzzle where the edges represent wire lengths? Let’s brainstorm.
Sure thing, let’s treat the PCB like a city map. Think of each pad as a node and each possible wire as an edge weighted by length. A shortest‑path algorithm, like Dijkstra, can find the minimal route between two components. If you’re connecting multiple points, that’s a traveling salesman problem—use a heuristic like nearest neighbor or a genetic algorithm to keep the total wire short while staying in the allowed layers. Remember to avoid crossing edges that aren’t allowed—plan a planar embedding first, then add vias only where needed. Need a quick sketch of the graph layout? Just give me the component list, and I’ll whip up a draft.
Sounds good. Drop me the list of pads and the connections you need and I’ll sketch the graph for you. If you have any constraints on layers or trace widths, let me know, too—those details can change the optimal route. Just keep it simple and I’ll handle the math.
Here’s a quick set to start:
Pads: A, B, C, D, E, F
Connections: A‑B, B‑C, C‑D, D‑E, E‑F, F‑A (a loop) and A‑D (cross‑bar)
Layers: keep everything on layer 1, but allow a single via if you need to drop from 1 to 2 for the A‑D link.
Trace width: 0.25 mm for signal traces, 0.5 mm for power. That should give you a solid base to crunch the shortest‑path math. Let me know if you want more nodes or extra constraints.