Question

Let G = (V, E, W) be a connected weighted graph wh

0 0
Add a comment Improve this question Transcribed image text
Answer #1

An undirected graph is acyclic (i.e., a forest) iff a DFS yields no back edges. Since back edges are those edges (u, v) connecting a vertex u to an ancestor v in a depth-first tree, so no back edges means there are only tree edges, so there is no cycle. So we can simply fun DFS. If find a back edge, there is a cycle. The complexity is O(V ) instead of O(E + V ). Since if there is a back edge, it must be found before seeing |V | distinct edges. This is because in a acyclic (undirected ) forest, |E| ≤ |V | + 1

Add a comment
Know the answer?
Add Answer to:
Let G = (V, E, W) be a connected weighted graph where each edge e has...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT