Unique paths in tree.

tree_path_snippet.js

var tree = {
  name: "Tree", 
  children: [
    {
      name: "1", 
      children:[
        {
          name: "1.1"
        }, 
        {
          name: "1.2", 
          children: [
            {
              name:"1.2.1"
            }, 
            {
              name:"1.2.2"
            }
          ]  
        }
      ]
    },
    {
      name: "3", 
      children: [
        {
          name:"3.1"
        }, 
        {
          name:"3.2"
        }
      ]
    }
  ]
},
recurse_tree = function recurse (root, parent) {
  var path_prefix = (parent ? (parent+" | ") : "") + root.name;
  return root.children
  ? [].concat.apply ([], root.children.map (function (v) {return recurse (v, path_prefix); }))
  : path_prefix;
},
example = function () { console.log (recurse_tree (tree)); } ();