Design | And Analysis Of Algorithms Gajendra Sharma Pdf
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The book explores several major strategies for algorithm development: Design & Analysis of Algorithms - Khanna Publishing House To help you with your paper based on
Graph Theory: Critical algorithms for Minimum Spanning Trees, Shortest Paths, and Network Flow. dynamic array resizing
Analysis techniques
- Recurrence relations and master theorem: Solve recursive running-time equations common in divide-and-conquer methods.
- Amortized analysis: Average cost per operation over sequences (e.g., dynamic array resizing, splay trees).
- Probabilistic analysis and Chernoff/Hoeffding bounds: Analyze randomized algorithms and tail probabilities.
- Invariants and loop invariants: Prove correctness of iterative algorithms.
- Potential method: A form of amortized analysis tracking potential energy/state.
- Reduction and hardness: Prove lower bounds or NP-hardness via reductions; use complexity classes (P, NP, NP-hard, NP-complete).
- Linear programming and duality: Used both for exact algorithms and to derive approximation ratios.
- Combinatorial and counting arguments: Useful for performance and lower-bound proofs.