This force-directed graph example visualizes a small network of three nodes (Alice, Bob, Carol) connected by two links, using a D3 v6 simulation to position the nodes. The SVG rendering shows circles for nodes and lines for edges, which update their coordinates on each simulation tick. The code employs `d3.forceSimulation` with `forceManyBody`, `forceLink`, and `forceCenter` forces to compute layout dynamics, while `selection.attr` updates the circle and line positions in real time.