A social network graph displays nine people as labeled blue circles connected by weighted black lines. The visualization uses a force-directed layout via `d3.layout.force` to position nodes, with link thickness proportional to the `weight` value from the loaded `graph.json` data. Nodes are draggable, and the graph renders in SVG with D3 v4. The tick event updates node transforms and link coordinates continuously, creating an interactive, physics-based layout.