I want to create a database schema for a tree. Each record will have a parent except root-record.
tree_table
 id | name 
-------------
  1 |  tree1
  2 |  tree2
  3 |  tree3
The nodes in each tree will be given.
tree_node_table
 id | name | tree_id | parent_id
---------------------------------
  1 |  a   |   1     |   NULL  
  2 |  b   |   1     |    1
  3 |  c   |   1     |    2
  4 |  d   |   1     |    2
  5 |  e   |   1     |    4
  6 |  f   |   2     |   NULL  
  7 |  g   |   2     |    6
  8 |  h   |   2     |    7
  9 |  i   |   2     |    7
 10 |  j   |   2     |    9
I feel it is not optimized one, anybody have better design?
UPDATE: the tree_id is using to identify quickly the tree the record belongs.
 
     
     
    