Hi Stefan,

Thanks for the reply. I know the definitions for many matroid concepts and 
its applications. 
For example, I have no problem reading the chapter on matroid in 
Schrijver's book.
I don't have background with the deeper theories.

On Monday, March 9, 2015 at 11:35:09 PM UTC-5, Stefan van Zwam wrote:
>
> 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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