Discrete Mathematics

Graph Theory

Advanced judgment in graph-based modeling: recognizing limits, trade-offs, and hidden costs.

Goal:

Learn how graphs model relationships.

3Lessons

6Micro-lessons

AdvancedDifficulty

Lesson 1

How ambiguity arises and persists in graph-based systems.

Start2 Micro-lessons

Micro lesson 1

Ambiguous Node Roles

Micro lesson 2

Hidden Edge Dependencies

Lesson 2

Balancing competing goals and recognizing hidden costs in graph optimization.

Start2 Micro-lessons

Micro lesson 1

Optimization Overreach

Micro lesson 2

Cost of Simplification

Lesson 3

Detecting subtle failures and knowing when not to intervene.

Start2 Micro-lessons

Micro lesson 1

Silent Cascading Failures

Micro lesson 2

Knowing When Not to Repair