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Quest for the Optimal Algorithm
Melvin Zhang
melvin@melvinzhang.net
CS5234 Projects by Students (Spring 2007)
(as of 27-March-2007)
=========================================================
Student | Type | Project
=========================================================
CAO YU | B/C | Set bipartite matching
CHENG WEI | B | Hierarchical Knapsack Problem
DAI BINGDIAN | B/C | Set bipartitle matching
DO HUY HOANG | C | Dynamic Graph Problems
NGO THANH SON | B | Least Common Ancestor
PATEL DHAVAL... | B | Mining on Graphs
REN YUAN | B | XML Filtering
TAN YEE FAN | C | Complexity of Sudoku
ZHANG ... MELVIN | B | Finding Gene Teams
ZHENG XUN | C | Airport Gate Allocation
9 students | A | BAP Partitioning
=========================================================
CS5234 Projects by Students (Spring 2007)
(as of 27-March-2007)
=========================================================
Student | Type | Project
=========================================================
CAO YU | B/C | Set bipartite matching
CHENG WEI | B | Hierarchical Knapsack Problem
DAI BINGDIAN | B/C | Set bipartitle matching
DO HUY HOANG | C | Dynamic Graph Problems
NGO THANH SON | B | Least Common Ancestor
PATEL DHAVAL... | B | Mining on Graphs
REN YUAN | B | XML Filtering
TAN YEE FAN | C | Complexity of Sudoku
ZHANG ... MELVIN | B | Finding Gene Teams
ZHENG XUN | C | Airport Gate Allocation
9 students | A | BAP Partitioning
=========================================================
A conserved gene cluster is a set of genes which are located
close to one another in multiple genomes.
A conserved gene cluster is a set of genes which are located
close to one another in multiple genomes.
A conserved gene cluster is a set of genes which are located
close to one another in multiple genomes.
A δ gene team is a maximal set of genes where the distance
between adjacent genes is at most δ
A δ gene team is a maximal set of genes where the distance
between adjacent genes is at most δ
A δ gene team is a maximal set of genes where the distance
between adjacent genes is at most δ
A δ gene team is a maximal set of genes where the distance
between adjacent genes is at most δ
FindTeams algorithm for computing δ gene team of two
permutations in O(n lg2
n)
2007
2007
2007
Date: Mon, 9 Jun 2008 09:33:51 +0800
From: "Melvin Zhang"
To: "Leong Hon Wai"
Subject: Re: ISMB 2008 Late-breaking Posters
...
we can squeeze all the additional bookkeeping to compute the GTT for
permutations into work done by the parameterized algorithm, which
means it would have O(n lg^2 n) complexity in the worst case.
Regards,
Melvin
2008
2009
Date: Monday, September 14, 2009 5:52 PM
From: "Biing-Feng Wang"
To: "Melvin Zhang", "Leong Hon Wai"
Subject: Re: a request
Dear Prof. Leong and Melvin,
Many thanks for sending me the JCB paper.
(I had read its conference version and I enjoyed the reading very much.)
Now, we are working on a paper which gives improved algorithms for
the problems of finding gene teams and constructing gene team trees.
I will send you a copy once it is ready.
Best Regards,
Biing-Feng
2011
An O(n lg n) algorithm for finding gene teams
Formulate the Maximum Gap problem
delete(p)
p
Formulate the Maximum Gap problem
delete(p)
p
Proposed a data structure that supports n delete operations in
O(n lg lg n) time
2013
2013
Proposed a data structure that supports n delete operations in
O(n α(n)) time
2014
Constructing a Gene Team Tree in O(n lg n) time?

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Finding Gene Teams in O(n lg n) Time

  • 1. Quest for the Optimal Algorithm Melvin Zhang melvin@melvinzhang.net
  • 2.
  • 3. CS5234 Projects by Students (Spring 2007) (as of 27-March-2007) ========================================================= Student | Type | Project ========================================================= CAO YU | B/C | Set bipartite matching CHENG WEI | B | Hierarchical Knapsack Problem DAI BINGDIAN | B/C | Set bipartitle matching DO HUY HOANG | C | Dynamic Graph Problems NGO THANH SON | B | Least Common Ancestor PATEL DHAVAL... | B | Mining on Graphs REN YUAN | B | XML Filtering TAN YEE FAN | C | Complexity of Sudoku ZHANG ... MELVIN | B | Finding Gene Teams ZHENG XUN | C | Airport Gate Allocation 9 students | A | BAP Partitioning =========================================================
  • 4. CS5234 Projects by Students (Spring 2007) (as of 27-March-2007) ========================================================= Student | Type | Project ========================================================= CAO YU | B/C | Set bipartite matching CHENG WEI | B | Hierarchical Knapsack Problem DAI BINGDIAN | B/C | Set bipartitle matching DO HUY HOANG | C | Dynamic Graph Problems NGO THANH SON | B | Least Common Ancestor PATEL DHAVAL... | B | Mining on Graphs REN YUAN | B | XML Filtering TAN YEE FAN | C | Complexity of Sudoku ZHANG ... MELVIN | B | Finding Gene Teams ZHENG XUN | C | Airport Gate Allocation 9 students | A | BAP Partitioning =========================================================
  • 5.
  • 6.
  • 7.
  • 8. A conserved gene cluster is a set of genes which are located close to one another in multiple genomes.
  • 9. A conserved gene cluster is a set of genes which are located close to one another in multiple genomes.
  • 10. A conserved gene cluster is a set of genes which are located close to one another in multiple genomes.
  • 11. A δ gene team is a maximal set of genes where the distance between adjacent genes is at most δ
  • 12. A δ gene team is a maximal set of genes where the distance between adjacent genes is at most δ
  • 13. A δ gene team is a maximal set of genes where the distance between adjacent genes is at most δ
  • 14. A δ gene team is a maximal set of genes where the distance between adjacent genes is at most δ
  • 15. FindTeams algorithm for computing δ gene team of two permutations in O(n lg2 n)
  • 16.
  • 17. 2007
  • 18. 2007
  • 19.
  • 20. 2007
  • 21. Date: Mon, 9 Jun 2008 09:33:51 +0800 From: "Melvin Zhang" To: "Leong Hon Wai" Subject: Re: ISMB 2008 Late-breaking Posters ... we can squeeze all the additional bookkeeping to compute the GTT for permutations into work done by the parameterized algorithm, which means it would have O(n lg^2 n) complexity in the worst case. Regards, Melvin
  • 22. 2008
  • 23.
  • 24. 2009
  • 25. Date: Monday, September 14, 2009 5:52 PM From: "Biing-Feng Wang" To: "Melvin Zhang", "Leong Hon Wai" Subject: Re: a request Dear Prof. Leong and Melvin, Many thanks for sending me the JCB paper. (I had read its conference version and I enjoyed the reading very much.) Now, we are working on a paper which gives improved algorithms for the problems of finding gene teams and constructing gene team trees. I will send you a copy once it is ready. Best Regards, Biing-Feng
  • 26. 2011
  • 27. An O(n lg n) algorithm for finding gene teams
  • 28. Formulate the Maximum Gap problem delete(p) p
  • 29. Formulate the Maximum Gap problem delete(p) p Proposed a data structure that supports n delete operations in O(n lg lg n) time
  • 30. 2013
  • 31. 2013 Proposed a data structure that supports n delete operations in O(n α(n)) time
  • 32. 2014 Constructing a Gene Team Tree in O(n lg n) time?