Look at this question. It is similar to yours. I have posted there a query you may need.
SELECT title, (SELECT TOP 1 title
FROM tree t2
WHERE t2.lft < t1.lft AND t2.rgt > t1.rgt
ORDER BY t2.rgt-t1.rgt ASC) AS parent
FROM tree t1
ORDER BY rgt-lft DESC
I hope there is what you need.
For the following table:
+-------------+----------------------+-----+-----+
| category_id | name | lft | rgt |
+-------------+----------------------+-----+-----+
| 1 | ELECTRONICS | 1 | 20 |
| 2 | TELEVISIONS | 2 | 9 |
| 3 | TUBE | 3 | 4 |
| 4 | LCD | 5 | 6 |
| 5 | PLASMA | 7 | 8 |
| 6 | PORTABLE ELECTRONICS | 10 | 19 |
| 7 | MP3 PLAYERS | 11 | 14 |
| 8 | FLASH | 12 | 13 |
| 9 | CD PLAYERS | 15 | 16 |
| 10 | 2 WAY RADIOS | 17 | 18 |
it produces the output:
title | parent
----------------------------------------------
ELECTRONICS | NULL
PORTABLE ELECTRONICS | ELECTRONICS
TELEVISIONS | ELECTRONICS
MP3 PLAYERS | PORTABLE ELECTRONICS
FLASH | MP3 PLAYERS
CD PLAYERS | PORTABLE ELECTRONICS
2 WAY RADIOS | PORTABLE ELECTRONICS
TUBE | TELEVISIONS
LCD | TELEVISIONS
PLASMA | TELEVISIONS