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Data Structures Fast Revision Notes
7 Modules, 13 Chapters, 1000+ Questions & 5 Mocks. Formatted for quick revision, complete with step-by-step algorithms, calculations, and verified answer keys.
98
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7
Modules
1000+
Practice Qs
5
Full Mocks
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Curriculum Breakdown
What's Inside the Notes
7 structured modules engineered for maximum concept recall in technical examinations.
Module 015 Core Topics
Asymptotic Analysis, Arrays & Matrix Math
- Asymptotic Growth & Master Theorem: Case 1, 2 & 3 with Extended Logarithmic Variants
- Recurrence Relations: Substitution, Tree Method & Divide-and-Conquer Analysis
- 1D & 2D Contiguous Arrays: Row-Major and Column-Major Address Calculation Formulas
- Special Matrices Storage: Symmetric, Tridiagonal, Lower & Upper Triangular Index Math
- Sparse Matrix Representations: 3-Tuple Coordinate List (COO) & Compressed Sparse Row (CSR)
Includes Practice CheckpointsVerified Keys Included →
Module 025 Core Topics
Linear Structures: Lists, Stacks & Queues
- Linked List Variations: Singly, Doubly, Circular Lists & Floyd's Cycle Detection Loop Math
- Skip Lists Architecture: Geometric Layering, Promotion Probability (p = 1/2) & O(log n) Search
- Stack Applications: Infix, Prefix & Postfix Conversions, Evaluation & Parentheses Matching
- Catalan Permutation Math: [1/(n+1) * C(2n, n)] Formula & Forbidden 3-1-2 Stack Subsequences
- Queue Modulo Math: Circular Queue Full/Empty Boundary Formulas [(rear + 1) % N == front] & Monotonic Deques
Includes Practice CheckpointsVerified Keys Included →
Module 035 Core Topics
Binary Trees & Binary Search Trees (BST)
- Binary Tree Theorems: Leaf-to-Degree-2 Balance Theorem (n₀ = n₂ + 1) & Full Tree Math (2L - 1)
- Traversal Reconstruction: Inorder + Preorder / Postorder Unique Tree Generation Rules
- Binary Search Tree (BST): Structural Invariants, Leftmost/Rightmost Leaf Bounds & O(n) Skew Traps
- Inorder Successor & Predecessor: Ancestor Traversal Rules for Missing Subtrees
- BST Deletion Mechanics: The 3 Structural Cases & Inorder Successor Replacement Logic
Includes Practice CheckpointsVerified Keys Included →
Module 045 Core Topics
Balanced Search Trees & Multi-Way Trees
- AVL Tree Invariants: Balance Factor ∈ {-1, 0, +1} & Height Upper Bound (h ≈ 1.44 log₂ n)
- AVL Rotation Mechanics: Single Rotations (LL, RR) vs. Double Rotations (LR, RL)
- AVL Minimum Nodes Math: Fibonacci-like Recurrence [N(h) = N(h-1) + N(h-2) + 1]
- Red-Black Tree Properties: Consecutive Red Invariant, Black-Height Bounds & Max Height (2 log₂(n+1))
- B-Trees & B+ Trees: Order m Constraints, Node Splitting/Borrowing & Database Linked-Leaf Scans
Includes Practice CheckpointsVerified Keys Included →
Module 055 Core Topics
Heaps, Priority Queues & Disjoint Sets
- Complete Binary Tree Array Mapping: 0-Indexed vs. 1-Indexed Parent/Child Coordinate Formulas
- Linear Build-Heap Derivation: Bottom-Up Down-Heapify Proof [Σ (h / 2^h) = 2 ⇒ O(n) Runtime]
- Heap Sort Properties: Comparison Bounds, In-Place O(1) Auxiliary Space & Unstable Swaps
- Disjoint Set Union (DSU): Up-Tree Forest Architecture, Union by Rank [h ≤ ⌊log₂ n⌋] & Union by Size
- Path Compression & Tarjan's Bound: Two-Pass Flattener & The Inverse Ackermann Function [O(m α(n))]
Includes Practice CheckpointsVerified Keys Included →
Module 065 Core Topics
Hashing & Graph Data Structures
- Hashing Principles: Load Factor (α = n/m), Division Method & Universal Hashing Guarantees
- Collision Resolution: Separate Chaining (α > 1) vs. Open Addressing (α ≤ 1)
- Probing Strategies: Linear (Primary Clustering), Quadratic (Secondary Clustering) & Double Hashing
- Expected Search Probes: Unsuccessful [1 / (1 - α)] vs. Successful [(1/α) ln(1 / (1 - α))] Math
- Graph Algorithms: Matrix vs. List Trade-offs, BFS Shortest Paths, DFS Timestamps (d[u], f[u]) & Kahn's DAG Topo Sort
Includes Practice CheckpointsVerified Keys Included →
Module 074 Core Topics
Full-Length Comprehensive Mock Tests
- 5 full-syllabus timed CBT mock tests (200 exam-standard MCQs)
- Balanced distribution covering all 13 core chapters from basics to advanced topics
- Standard competitive exam pattern: 40 questions / 45 minutes / -0.25 negative marking
- 20-column instant answer verification grids and performance audit scorecards
Includes Practice CheckpointsVerified Keys Included →
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05
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Data Structures Fast Revision Notes
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- Complete Data Structures fast-revision blueprint
- 7 modules, 13 exam-oriented chapters
- Trees, AVL Rotations, B/B+ Trees, Heaps & Graph DAGs
- 5 full-syllabus timed mock tests
- 100% monochrome, toner-efficient print-friendly design
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