Maximum distance(diameter) of a binary tree

Find the maximum distance of a binary tree. The maximum distance or diameter is defined to be the number of nodes in the longest path inside a binary tree.

01 int diameterTree(Node* head, int& d)
02 {
03     if(head==NULL)
04         return 0;
05     int left=diameterTree(head->left,d);
06     int right=diameterTree(head->right,d);
07     if((left+right+1)>d)
08         d=left+right+1;
09     if(left>=right)
10         return left+1;
11     else
12         return right+1;
13 }
The above algorithm used post-traverse of a binary tree and calculate depth and diameter recursively. Note that, every node has been visited just once! So, the overall complexity is O(n).
This entry was posted in Recursive, Tree. Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s