Balanced Tree - AVL Tree in Java » grokonez

Balanced Tree - AVL Tree in Java » grokonez

AVL Tree in Java - AVL Tree Data Structure: It is a balanced binary search tree - the heights of given node's children trees don't differ more than 1 (with height of node = max of its children node + 1).

https://grokonez.com/java/balanced-tree-avl-tree-java

Balanced Tree – AVL Tree in Java

In this tutorial, we're gonna look at AVL Tree Data Structure. It is a balanced binary search tree - the heights of given node's children trees don't differ more than 1 (with height of node = max of its children node + 1).

balanced-tree-avl-tree-java-overview

AVL Rotations

Four types of unbalanced situations: - Left-Left: doubly left heavy situation => make a right rotation. - Right-Right: doubly right heavy situation => make a left rotation. - Left-Right: => make a left and a right rotation. - Right-Left: => make a right and left rotation.

Right Rotation

balanced-tree-avl-tree-java-right-rotation

Node rightRotation(Node node) { // input C
    Node newParentNode = node.getLeftNode(); // newParentNode = B
    Node mid = newParentNode.getRightNode(); // store B's right node 'mid' (B < mid < C)

newParentNode.setRightNode(node); // C now becomes right node of B
node.setLeftNode(mid); // 'mid' now becomes left node of C

node.setHeight(Math.max(height(node.getLeftNode()), height(node.getRightNode())) + 1);
newParentNode.setHeight(Math.max(height(newParentNode.getLeftNode()), height(newParentNode.getRightNode())) + 1);

return newParentNode; // return B as the parent of A and C

}

To simplify the sample, we assume that C has no right node. In general, right node of C will not be changed.

Left Rotation

balanced-tree-avl-tree-java-left-rotation

More at:

https://grokonez.com/java/balanced-tree-avl-tree-java

Balanced Tree – AVL Tree in Java

java avl

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