n-cop Shannon Switching (Complete Graph) — 2-player Web UI

Cop blocks up to n edges per turn (blue). Robber claims 1 edge per turn (red). Robber wins if red connects 0↔1. Cop wins if, even with all remaining unblocked edges, 0↔1 is disconnected.

Game

Moves

Position

Export uses the same move notation as the Moves list. “Copy Link” writes a URL hash like #k=8&n=2&t=C&l=2&m=0-2~1-5.3-4~ which auto-loads on open.
Cop (blocked edge)
Robber (claimed edge)
Neutral (unclaimed)
How to play: Click an edge to claim/block it for the current player. Cop can click up to n edges on their turn (or press “End Cop turn”). Robber clicks exactly one edge.
Cop view: Switch to deletions layout to hide blue edges and recompute a force-directed layout from the same ring start each time. Use robber-attraction to additionally pull red-connected vertices closer.
Tip: Hide neutral edges for k≥10. Hold Shift and drag to pan. Use mouse wheel or +/- to zoom.
AI thinking…
100%