26.1 - Shortest Paths in Weighted Graphs
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is a weighted graph?
💡 Hint: Think about how costs can affect paths.
What does Dijkstra's Algorithm find?
💡 Hint: It’s named after the person who proposed it.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the purpose of a weight function in a weighted graph?
💡 Hint: Focus on what makes weighted graphs distinct from unweighted graphs.
Dijkstra's Algorithm can only be used with which type of weights?
💡 Hint: Consider what happens if a path can decrease in cost.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a weighted graph with vertices A, B, C, and D, create an edge weight table and utilize Dijkstra's algorithm to find the shortest path from A to all other vertices. What paths will you end up with?
💡 Hint: Start with distances set to infinity, except for the starting vertex.
In a scenario where some edge weights can change dynamically, discuss how you might adapt Dijkstra's algorithm for efficient re-computation. What strategies would you use?
💡 Hint: What would be the trade-off between recalculating paths versus maintaining existing paths?
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.