binary_search_tree

An implementation of the binary search tree in Java.

Important: some of this code is based on Cormen's Introduction to Algorithms and Open Data Structures code and content/info about trees. I'm really thankful for their effort on writing their books and this repository wouldn't have all these methods if it weren't for them.

Links:

• Introduction to Algorithms, by Cormen et al
• Open Data Structures

Some info:

• p, left and right are the parent node and left and right children, respectively. key is the information that node holds;

• The find() method searches for the node that contains the int passed as argument. If found, returns it. If not, returns the node that would be its parent if the searched item existed at that moment;

• The add() method uses find() to get to the place where the new node should be added. If a node already has the int passed as argument, it ignores it and doesn't add a thing (so there are no duplicates). If the new node is smaller than the current being looked at, it goes to the left; if it's greater, it goes to the right;

• The remove() method uses transplant() (that performs a swap between nodes) to remove the node that contains the int passed as argument from its tree;

• The min() and max() methods return the node that holds the minimum and maximum values of the tree rooted at the object calling it;

• The predecessor() and successor() methods return the predecessor (max() of its left child) and successor (min() of the right child) of the object calling it. If the respective child doesn't exist, returns itself;

• The size() method returns the quantity of nodes in the (sub-)tree rooted at the object calling it;

• The depth() returns the length of the path from the object calling it to the root of the tree. If called from a Tree object, will return the height of the tree, as it doesn't make sense to calculate the depth of the root and the total depth of the tree is equal to its height;

• And the height() returns the length of the path from the object calling it to the farthest descendant/leaf;

• Finally, the inorderWalk() method prints all the nodes in ascending order. Now that print() is gone (its existence was kinda redundant), I made it a little more verbose;