Practice Cost of Edges in Graphs - 26.1.3 | 26. Shortest Paths in Weighted Graphs | Design & Analysis of Algorithms - Vol 1
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Cost of Edges in Graphs

26.1.3 - Cost of Edges in 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.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a weighted graph.

💡 Hint: Think about if there's a cost to travel along the edges.

Question 2 Easy

What is the purpose of Dijkstra's algorithm?

💡 Hint: Recall which algorithm is best for non-negative weights.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a weighted graph?

A graph with equal edges
A graph with edges having costs
A graph without edges

💡 Hint: Think about costs associated with travel.

Question 2

Does Dijkstra’s algorithm work with negative weights?

True
False

💡 Hint: Remember what we've discussed about algorithms.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Imagine you are the logistics manager of a company. You need to create a cost-effective route to deliver items to five locations using Dijkstra’s algorithm. Draw the graph and calculate the shortest path.

💡 Hint: Start at one of the locations and continually update the cost to reach other locations.

Challenge 2 Hard

Given a weighted graph with negative edge weights, demonstrate how the Bellman-Ford algorithm functions and computes shortest paths. Include a visual representation.

💡 Hint: Remember, this algorithm involves systematically relaxing edges multiple times.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.