Hi Chao,

The state of the art in 3-connectivity algorithms is a 1979 book chapter by 
Bixby and Cunningham, see http://www.ams.org/mathscinet-getitem?mr=538038 
(you'll have to dig it up from a library, most likely). For matroid union 
and intersection, Schrijver's 3-volume Combinatorial Optimization is a good 
reference.

How much do you know about matroids?

Cheers,

Stefan van Zwam.

On Tuesday, March 3, 2015 at 2:39:49 PM UTC-6, Chao Xu wrote:
>
> Hi all!
>
> I'm Chao Xu, a computer science PhD student at UIUC. 
> - I had experience with Sage a few years ago during an REU, and I 
> sometimes dub in python. 
> - I have lot of experience implementing algorithms(although it's in Java).
> - I'm interested in combinatorial optimization, and believe implementing 
> some algorithms for matroid seems to be a good introduction to this field.
>
> Any papers could bring me up to speed with the current state of art? So I 
> might get a feeling of what is feasible.
>
> Best,
> Chao
>

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