Graphs and Network Algorithms · Graphs

Graph Data Structure

Graphs model relationships between vertices using edges, which can be directed, undirected, weighted, or unweighted.

Student Focus

Graphs become manageable when students first learn the vocabulary and representation choices.

Guided Lesson Notes

How Code Scholars teaches Graph Data Structure

This guide helps students understand the idea, implement it carefully, explain the runtime, and recognize when the pattern belongs in a larger problem.

In a session, students usually start with a small trace, then write or review code, then test edge cases. The final step is a short explanation: what the structure or algorithm stores, why it is correct, and what changes when the input grows.

Key Ideas

  • Vertices and edges
  • Directed versus undirected graphs
  • Weighted graph modeling

Practice Prompts

  • Model friendships, roads, or prerequisites as graphs.
  • Identify paths, cycles, and connected components in a sample graph.

Tutoring Connection

Turn the topic into usable problem-solving skill

Students can use this page before a lesson, after a difficult homework assignment, or while preparing for AP Computer Science A extensions, Advanced Topics in CS, USACO growth, or a college data structures course.