dict = ['cat','cot','cog','bog','bat','bap','map', 'mat'];
start = 'cat';
end = 'map';
isLinked = function(w1, w2){
  var flag = false;
  for (var i = 0; i < w1.length; i++) {
    if(w1[i] != w2[i]){
      if(flag)
        return false;
      flag = true;
    }
  }
  return true;
}
myFunc = function(status, dict_copy) {
  var out = [];
  for (var i = dict_copy.length - 1; i >= 0; i--) {
    var dictCopy = dict_copy.slice(0);
    var st = status.slice(0);
    var next = dictCopy[i];
    dictCopy.splice(i, 1);
    if(isLinked(st[st.length - 1], next)){
      st.push(next);
      if(next == end){
        out.push(st);
      } else {
        var zzz = myFunc(st, dictCopy, out);
        out = out.concat(zzz);
      }
    }
  }
  return out;
}
if(start == end){
  x = [start];
} else {
  var dictCopy = dict.filter(function(val){ return val != start;});
  x = myFunc([start], dictCopy);
}