A social network graph displays nine named people as blue circles with red labels, connected by weighted black lines. The visualization uses the D3.js v4 library with the `d3.layout.force()` API to apply a force-directed layout, positioning nodes based on simulated physical forces with gravity, charge, and distance parameters. Circle radius is fixed, while link stroke-width reflects each connection's weight value from the JSON data source. The graph renders as an SVG element, and nodes are draggable, with their positions updated on each tick of the force simulation.