Download presentation

Presentation is loading. Please wait.

1
Daoqi Wang Problem 41 from Open Problems Project http://maven.smith.edu/~orourke/TOPP/

2
Sorting X + Y where X + Y = {x + y | x ∈ X, y ∈ Y} (Minkowski sum) Ex: X = {1, 2, 3}, Y = {4, 5, 6} {5, 6, 6, 7, 7, 7, 8, 8, 9} X1X1 X2X2 X3X3 Y1Y1 1 + 42 + 43 + 4 Y2Y2 1 + 52 + 53 + 5 Y3Y3 1 + 62 + 63 + 6

3
Michael Fredman, 1976 Algorithm found by William Steiger and Ileana Streinu in 1995 with O(n^2logn) running time with O(n^2) comparisons Question: is it o(n^2logn)?

4
Antonio Herrera, 1996 ◦ Presented problems that are at least as hard as sorting X + Y ◦ Tracing the intersections of a ray ◦ Enumerating distances (K shortest distances) O(nlogn + klogn)

5
Timothy Chan, 2006 ◦ Necklace alignment (L 1, L 2, L ∞ )

6
Timothy Chan, 2006 ◦ Convolution (max, min, range)

7
Status ◦ Open ◦ o(n^2logn) Importance ◦ 3SUM(a + b + c = 0) ◦ Topological Sorting ◦ Sperm Sorting

Similar presentations

OK

Tangents and Normals We’re going to talk about tangents and normals to 3-D surfaces such as x 2 + y 2 + z 2 = 4 It’s useful to think of these surfaces.

Tangents and Normals We’re going to talk about tangents and normals to 3-D surfaces such as x 2 + y 2 + z 2 = 4 It’s useful to think of these surfaces.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on travelling salesman problem using genetic algorithm Ppt on hindu religion pictures Ppt on features of ms word Pdf to ppt online converter free download Ppt on self awareness in nursing Ppt on content development training Ppt on charles dickens and his life Ppt on good leadership Ppt on financial system and economic development Ppt on electromagnetic field