I have a network of around 1000 nodes. I have set stabilize:true and zoomExtentOnStabilize: true. The nodes are being added from JSON using vis.network.gephiParser.parseGephi() function. When I tried to plot this graph it never stabilizes even after hours of letting it idle. But then smaller number of nodes stabilize in reasonable time. What am I missing here. Is there any way to stabilize big graphs. I even tried setting the number of iterations to stabilize to 1000 and even higher. Thanks in advance for the help.  
P.S.:The coordinates of the nodes are not available from JSON. The graph is redrawn based on the user input.
EDIT 1:
The JSON data being plotted is available at http://pastebin.com/raw.php?i=Mzy4ncxw. I couldn't make a reproducible example at jsbin because of CORS error.
The JavaScript code is:  
message = JSON.parse(json_data); // json_data is sent from R server.
var nodes = new vis.DataSet();
var edges = new vis.DataSet();
var container = document.getElementById("div_graph");
var data = {
  nodes: nodes,
  edges: edges
};
var options = {
  tooltip: {
    delay: 50,
    fontColor: "black",
    fontSize: 14, 
    fontFace: "verdana",
    color: {
      border: "#666",
      background: "#FFFFC6"
      } 
  },
  clustering: {
    enabled: clusteringOn,
    clusterEdgeThreshold: 50  
  },
  hideEdgesOnDrag: true,
  stabilize: true,
  zoomExtentOnStabilize: true,
  navigation: true,
  keyboard: true,
  edges: {
    inheritColor: "to"
  }
};
var network = new vis.Network(container, data, options);
nodes.clear();
edges.clear();
var parsed = vis.network.gephiParser.parseGephi(message);
nodes.add(parsed.nodes);
edges.add(parsed.edges);
network.redraw();