lnzva's blog

Problems which utilize Dilworth's theorem
By lnzva, history, 8 years ago, In English

Could anyone suggest some problems which utilize Dilworth's theorem? Thanks in advance :)

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8 years ago, hide # |
 
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MDOLLS on SPOJ uses Dilworth's theorem.

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The classical O(N lg N) algorithm for longest increasing subsequence (LIS) can be seen as an application of Dilworth's Theorem. See here: http://www.geeksforgeeks.org/longest-monotonically-increasing-subsequence-size-n-log-n/

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A problem from the third round of 2015 Facebook Hacker Cup

https://www.facebook.com/hackercup/problem/847639175277938/

Solution: https://www.facebook.com/notes/1056536891028878

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8 years ago, hide # |
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Another good problem (Dilworth's on longest increasing subsequence) is Cow Jog from USACO December 2014.

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