Graph Representations and Traversal Algorithms
Students will explore how information like text, images, and numbers are represented digitally using binary code.
About This Topic
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.
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