Visualise Potential Connections in a Network using Graphviz

/*
Visualise Potential Connections in a Network using Graphviz

Invocation: dot -Tsvg -O PC6.gv
Formula: (n*(n-1))/2  // This is n choose k, where k = 2

Sample file below is for a network of 6

Nodes/Edges are generated using the "Generate Potential Connection Edges" Python script (see https://pastebin.com/WF1viLAB)
*/
graph G {
//layout = "circo"
layout = "twopi"

graph   [   bgcolor = "#c7eae5" ]
node    [   shape = "circle"    ,   style = "filled"    ,   fillcolor = "#d3d3d3"   ]
edge    [   dir = "both"    ,   arrowsize = "0.4"   ,   arrowhead = "vee"   ,   arrowtail = "vee"   ]

A   [   fillcolor = "#d3d3ff"   ]

A  -- { B  C  D  E  F  }
B  -- { C  D  E  F  }
C  -- { D  E  F  }
D  -- { E  F  }
E  -- { F  }
}