Project

A project proves you can apply algorithmic ideas to a real problem, justify your choices with complexity analysis, and demonstrate measurable performance gains. It’s a portfolio signal of strong fundamentals, something employers and research teams consistently value.

Getting Started

List of Probable Project Topics

  • Shortest Path Suite: implement BFS/Dijkstra/Bellman-Ford/A* and compare runtime on real maps.
  • Minimum Spanning Tree Benchmark: Kruskal vs Prim with different graph densities.
  • Dynamic Programming Toolkit: solve 5-10 classic DP problems + optimization techniques (memoization, tabulation).
  • String Matching Engine: KMP/Rabin-Karp/Boyer-Moore comparison on large text corpora.
  • Data Structures Performance Lab: heaps, balanced trees, hash tables-empirical complexity study.
  • Greedy vs Optimal Case Study: interval scheduling, knapsack variants, coin change—prove/contrast optimality.
  • Streaming Algorithms Mini-Project: approximate frequency counts (Count-Min Sketch), distinct elements (HyperLogLog).
  • Approximation Algorithms: set cover or vertex cover approximation with quality guarantees.
  • Graph Connectivity at Scale: Union-Find with path compression; Kruskal integration; benchmarking.
  • Max Flow / Min Cut Application: bipartite matching (assignments), network routing, or image segmentation.
  • Computational Geometry Project: convex hull (Graham scan), closest pair, line sweep demo.
  • Sorting Under Constraints: external sorting, radix/counting sort vs comparison sorts on big datasets.
  • Backtracking & Pruning: Sudoku/constraint solver with heuristics and branch-and-bound.
  • Algorithmic Trading Simplifier: optimize order matching / latency-aware data structures (simulation).
  • Caching & Replacement Policies: LRU/LFU/ARC simulation + competitive analysis intuition.
  • Parallel/Divide-and-Conquer: parallel mergesort or Strassen-style ideas with speedup measurement.
  • Compression Basics: Huffman coding + empirical compression ratios on different file types.
  • Algorithm Visualizer Web App: interactive visualization of sorting/graph algorithms with complexity overlays.