39 Tree Formulas and Equations in Data Structure | Nodes, Edges, Height, Leaves, Balance Factor |DSA

In this video, you will learn all the important formulas and equations of Tree data structure, with a visual example and a clear explanation for every formula. These equations are very important for university exams, MCQs and job interviews. 📌 Formulas covered: • Edges in a tree = n − 1 (sum of all degrees = n − 1) • Maximum nodes at level l = 2ˡ • Maximum nodes in a binary tree of height h = 2^(h+1) − 1 • Maximum height of a tree with n nodes = n − 1 (skewed tree) • Leaf nodes and 2-child nodes: n₀ = n₂ + 1 • Full binary tree: n = 2I + 1 (I = internal nodes) • Height of a node = 1 + max(height of left, height of right), empty child = −1 • Balance Factor: BF = height(left) − height(right) • Balanced tree condition: |BF| ≤ 1 for every node • Array representation: parent(i) = ⌊(i − 1) / 2⌋ ⏱ Timestamps: 0:00 Introduction 1:00 Edges = n − 1 2:05 Maximum Nodes at a Level (2ˡ) 3:20 Maximum Nodes in Height h (2^(h+1) − 1) 4:30 Height and Number of Nodes 5:30 Leaves and 2-Child Nodes (n₀ = n₂ + 1) 7:20 Height of a Node 8:50 Balance Factor 11:20 Array Index (Parent Formula) 🎯 Perfect for: CSE / BSc / Diploma students, university exam preparation, job interview prep, and beginners learning Data Structures and Algorithms. 📚 Previous videos: Types of Binary Tree, Tree and its Terminology 👍 Like, Share, and Subscribe for more Data Structure and Algorithm tutorials. #Tree #BinaryTree #TreeFormulas #DataStructure #DSA #BalanceFactor #ComputerScience