This visual guide is designed for students who understand some code but need a stronger mental picture of how the data structure or algorithm behaves. Use the diagram first, then connect it to code.
Graphs are relationships, not rows
Mental model
A graph stores connections. BFS explores by distance from the start. DFS follows a path deeply before backtracking. Both need visited tracking.
How it shows up in code
In a social-network graph, BFS from one student finds everyone one connection away, then two connections away, then three. That level structure is why BFS finds shortest paths in unweighted graphs.
What to trace
Practice prompt
Given a small adjacency list, write the BFS visit order and DFS visit order using the listed neighbor order.
When students need support
Code Scholars helps students turn the visual model into implementation, tests, edge-case reasoning, and runtime analysis. This is especially useful when students can follow an explanation but struggle to write the code independently.