A force-directed network graph displays 13 named nodes connected by weighted links, with each node colored and labeled from the JSON data in `graph.json`. The visualization uses `d3.layout.force()` to position nodes with a charge of -500 and distance of 160, while link stroke widths vary proportionally to the square root of each edge's weight. Node positions update on each force simulation tick, and the SVG canvas renders circles with grey strokes and text labels, with drag interaction enabled through `force.drag`.