Difference between revisions of "Open Problems:11"

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{{DISPLAYTITLE:Problem 11: Counting Triangles}}
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{{Header
{{Infobox
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|title=Counting Triangles
|label1 = Proposed by
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|source=kanpur06
|data1 = Stefano Leonardi
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|who=Stefano Leonardi
|label2 = Source
 
|data2 = [[Workshops:Kanpur_2006|Kanpur 2006]]
 
|label3 = Short link
 
|data3 = http://sublinear.info/11
 
 
}}
 
}}
 
Given a stream in which edges are inserted and deleted to/from an unweighted, undirected graph, how well can we count triangles and other sub-graphs? Most of the previous work has focussed on the case of insertions {{cite|BarYossefKS-02|JowhariG-05|BuriolFLMS-06}} although it appears that one of the algorithms in {{cite|JowhariG-05}} may work when edges can be deleted. Is it possible to match the insert-only bounds when edges are inserted and deleted?
 
Given a stream in which edges are inserted and deleted to/from an unweighted, undirected graph, how well can we count triangles and other sub-graphs? Most of the previous work has focussed on the case of insertions {{cite|BarYossefKS-02|JowhariG-05|BuriolFLMS-06}} although it appears that one of the algorithms in {{cite|JowhariG-05}} may work when edges can be deleted. Is it possible to match the insert-only bounds when edges are inserted and deleted?

Revision as of 05:05, 16 November 2012

Suggested by Stefano Leonardi
Source Kanpur 2006
Short link https://sublinear.info/11

Given a stream in which edges are inserted and deleted to/from an unweighted, undirected graph, how well can we count triangles and other sub-graphs? Most of the previous work has focussed on the case of insertions [BarYossefKS-02,JowhariG-05,BuriolFLMS-06] although it appears that one of the algorithms in [JowhariG-05] may work when edges can be deleted. Is it possible to match the insert-only bounds when edges are inserted and deleted?