Podcast
Questions and Answers
What is the time complexity for the L1 metric algorithm discussed in the text?
What is the time complexity for the L1 metric algorithm discussed in the text?
- O(n log n)
- O(k^2 + kn log log n + n log n) (correct)
- O(kn log n)
- O(n log log m)
What is the key difference in computation between the algorithm discussed in the text and theorem 4?
What is the key difference in computation between the algorithm discussed in the text and theorem 4?
- Computation of nearest neighbors
- Computation of fi(x) (correct)
- Preprocessing stage
- Sorting of the points
Which metric corresponds to the case of orthogonal spanning trees as per the text?
Which metric corresponds to the case of orthogonal spanning trees as per the text?
- L3
- L1 (correct)
- L∞
- L2
What is considered to be O(k) computations in relation to the bichromatic nearest neighbor problem?
What is considered to be O(k) computations in relation to the bichromatic nearest neighbor problem?
What speedup does the improved solution for the L1 metric provide to the spanning tree algorithm?
What speedup does the improved solution for the L1 metric provide to the spanning tree algorithm?
How are red and blue points sorted according to the text?
How are red and blue points sorted according to the text?
What is the time complexity for computing the nearest red point for each blue point according to Lemma 18?
What is the time complexity for computing the nearest red point for each blue point according to Lemma 18?
What is computed for each blue point in the simplified version of the problem as per Lemma 18?
What is computed for each blue point in the simplified version of the problem as per Lemma 18?
Which part of the algorithm requires an O(n log n) time preprocessing stage?
Which part of the algorithm requires an O(n log n) time preprocessing stage?
What is being sorted during the preprocessing stage?
What is being sorted during the preprocessing stage?
