1. Advanced Data Structure using C++

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LECTURE NOTES OF ADVANCED DATA STRUCTURE (MT-CSE 110) Likewise, the following is NOT an AVL tree. Note that negative values arise when the left sub‐tree is taller than the right sub‐tree. B A C F (1 – 3 = ‐2) D G F On the other hand, although not perfectly balanced the following is an AVL tree. Balances of 0 are not shown. 10 (‐1) 5 (‐1) 15 (‐1) 3 (‐1) 6 (1) 13 (‐1) 20 2 (‐1) 4 8 12 1 C. Node rotation. In order to maintain an AVL tree as an AVL tree, the normal insertion and deletion algorithms have to be supplemented with “node rotation” procedures. There are right rotations, left rotations and double rotations. <strong>1.</strong> A left rotation. Prepared By : Er. Harvinder Singh Assist Prof., CSE, H.C.T.M (Kaithal) Page ‐ 202 ‐
LECTURE NOTES OF ADVANCED DATA STRUCTURE (MT-CSE 110) Consider the following tree: 5 3 10 2 4 6 15 1 8 13 20 12 A left rotate of node 10 requires the following: 1) 10’s right child (15) rises up to replace 10. 2) This orphans 15’s left children (13 and 12), but… 3) 10 becomes the left child of 15 and adopts 12 and 13, producing the following tree. 5 3 15 2 4 10 20 1 6 13 8 12 Prepared By : Er. Harvinder Singh Assist Prof., CSE, H.C.T.M (Kaithal) Page ‐ 203 ‐
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ADVANCED DATA STRUCTURE NOTES (MT
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1. Advanced Data Structure using C++

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