MySQL: Tree-Hierarchical query
I already addressed something of this nature using Stored Procedures : Find highest level of a hierarchical field: with vs without CTEs (Oct 24, 2011)
If you look in my post, you could use the GetAncestry and GetFamilyTree functions as a model for traversing the tree from any given point.
UPDATE 2012-12-11 12:11 EDT
I looked back at my code from my post. I wrote up the Stored Function for you:
DELIMITER $$

DROP FUNCTION IF EXISTS `cte_test`.`GetFamilyTree` $$
CREATE FUNCTION `cte_test`.`GetFamilyTree`(GivenName varchar(64))
RETURNS varchar(1024) CHARSET latin1
DETERMINISTIC
BEGIN

    DECLARE rv,q,queue,queue_children,queue_names VARCHAR(1024);
    DECLARE queue_length,pos INT;
    DECLARE GivenSSN,front_ssn VARCHAR(64);

    SET rv = '';

    SELECT SSN INTO GivenSSN
    FROM Employee
    WHERE name = GivenName
    AND Designation &lt;&gt; 'OWNER';
    IF ISNULL(GivenSSN) THEN
        RETURN ev;
    END IF;

    SET queue = GivenSSN;
    SET queue_length = 1;

    WHILE queue_length &gt; 0 DO
        IF queue_length = 1 THEN
            SET front_ssn = queue;
            SET queue = '';
        ELSE
            SET pos = LOCATE(',',queue);
            SET front_ssn = LEFT(queue,pos - 1);
            SET q = SUBSTR(queue,pos + 1);
            SET queue = q;
        END IF;
        SET queue_length = queue_length - 1;
        SELECT IFNULL(qc,'') INTO queue_children
        FROM
        (
            SELECT GROUP_CONCAT(SSN) qc FROM Employee
            WHERE MSSN = front_ssn AND Designation &lt;&gt; 'OWNER'
        ) A;
        SELECT IFNULL(qc,'') INTO queue_names
        FROM
        (
            SELECT GROUP_CONCAT(name) qc FROM Employee
            WHERE MSSN = front_ssn AND Designation &lt;&gt; 'OWNER'
        ) A;
        IF LENGTH(queue_children) = 0 THEN
            IF LENGTH(queue) = 0 THEN
                SET queue_length = 0;
            END IF;
        ELSE
            IF LENGTH(rv) = 0 THEN
                SET rv = queue_names;
            ELSE
                SET rv = CONCAT(rv,',',queue_names);
            END IF;
            IF LENGTH(queue) = 0 THEN
                SET queue = queue_children;
            ELSE
                SET queue = CONCAT(queue,',',queue_children);
            END IF;
            SET queue_length = LENGTH(queue) - LENGTH(REPLACE(queue,',','')) + 1;
        END IF;
    END WHILE;

    RETURN rv;

END $$

It actually works. Here is a sample:
mysql&gt; SELECT name,GetFamilyTree(name) FamilyTree
    -&gt; FROM Employee WHERE Designation &lt;&gt; 'OWNER';
+------+-----------------------+
| name | FamilyTree            |
+------+-----------------------+
| A    | B,F,C,H,L,I,K,D,E,G,J |
| G    |                       |
| D    |                       |
| E    |                       |
| B    | C,H,L,I,D,E,G,J       |
| F    | K                     |
| C    | D,E                   |
| H    | G                     |
| L    |                       |
| I    | J                     |
| K    |                       |
| J    |                       |
+------+-----------------------+
12 rows in set (0.36 sec)

mysql&gt;

There is only one catch. I added one extra row for the owner

The owner has SSN 0
The owner is his own boss with MSSN 0

Here is the data
mysql&gt; select * from Employee;
+-----+------+-------------+------+
| SSN | Name | Designation | MSSN |
+-----+------+-------------+------+
| 0   | A    | OWNER       | 0    |
| 1   | A    | BOSS        | 0    |
| 10  | G    | WORKER      | 5    |
| 11  | D    | WORKER      | 4    |
| 12  | E    | WORKER      | 4    |
| 2   | B    | BOSS        | 1    |
| 3   | F    | BOSS        | 1    |
| 4   | C    | BOSS        | 2    |
| 5   | H    | BOSS        | 2    |
| 6   | L    | WORKER      | 2    |
| 7   | I    | BOSS        | 2    |
| 8   | K    | WORKER      | 3    |
| 9   | J    | WORKER      | 7    |
+-----+------+-------------+------+
13 rows in set (0.00 sec)

mysql&gt;