Practice Introduction to Weighted Graphs - 26.1.1 | 26. Shortest Paths in Weighted Graphs | Design & Analysis of Algorithms - Vol 1
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Introduction to Weighted Graphs

26.1.1 - Introduction to Weighted Graphs

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a weighted graph?

💡 Hint: Think about graphs with costs like distances or prices.

Question 2 Easy

What function assigns weights to edges in a graph?

💡 Hint: What do we call the function that gives meaning to edge costs?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a weighted graph?

A graph with no edges
A graph with edges having costs
A graph with only one vertex

💡 Hint: Think about graphs that are used in real-life situations.

Question 2

True or False: BFS can always find the shortest path in a weighted graph.

True
False

💡 Hint: Recall the limitations of BFS with regards to edge weights.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Model a simple graph with at least 5 vertices and varying edge weights, and apply Dijkstra’s algorithm. What would the shortest paths from a source vertex look like?

💡 Hint: Sketch the graph out and label the weights before starting the algorithm.

Challenge 2 Hard

Design a scenario where you compare single-source shortest paths to all pairs shortest paths in a real-world context. Discuss implications in decision-making.

💡 Hint: Think about how each situation might change based on the approach taken.

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