Store an N-ary tree structure in Relational database table

I was asked this question during my tower research interview for the position of Senior script developer.
I came up with the solution to store it in a self referring table which has two columns (parent,child). So, in this kind of table he said that finding the depth of any particular node, i would have to write/call queries equaling the depth of the node under consideration. He asked how can you improve the data structure to store this kind of structure in tables ??

http://iamcam.wordpress.com/2006/03/24/storing-hierarchical-data-in-a-database-part-2a-modified-preorder-tree-traversal/
http://www.sitepoint.com/hierarchical-data-database-2/

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Interviewer: Manikant K.