Graph Representations and Traversal Algorithms
Students will explore how information like text, images, and numbers are represented digitally using binary code.
Key Questions
- Compare adjacency matrix and adjacency list representations for sparse and dense graphs in terms of space complexity and the time cost of edge lookup, neighbour enumeration, and graph traversal.
- Trace BFS and DFS on a directed graph, compare the orderings produced, and explain which problems each traversal is suited to solve (e.g., shortest unweighted path, cycle detection, topological sort).
- Design a DFS-based algorithm to detect cycles in a directed graph using vertex colouring and prove its correctness for both directed and undirected cases.
MOE Syllabus Outcomes
Suggested Methodologies
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