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| Content Provider | ACM Digital Library |
|---|---|
| Author | Chan, Timothy |
| Abstract | In this talk, I will discuss some "textbook exercises" in low-dimensional computational geometry that any algorithmist with no computational-geometry background can attempt to solve: Given a set of red and blue points, is there a red point dominating (bigger along all coordinates than) a blue point? Given a set of horizontal and vertical line segments, is there an intersection? Given a set of axis-parallel boxes, is there a box strictly contained in another box? There are connections to non-geometric problems such as counting inversions and all-pairs shortest paths. Remarkably, certain versions of these problems are still open! I will describe the latest worst-case results in the standard word-RAM model, as well as the recent surprising discovery of "instance-optimal" algorithms in the traditional comparison model. |
| Starting Page | 1437 |
| Ending Page | 1437 |
| Page Count | 1 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2011-01-23 |
| Access Restriction | Subscribed |
| Content Type | Text |
| Resource Type | Article |
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