Dear Jan,
thanks for your message. It seems that you are not eligible to participate 
in GSoC as a student any more. 
Indeed, https://developers.google.com/open-source/gsoc/faq has 

What are the eligibility requirements for participation?
section that says:

   - You have not already been accepted as a Student in GSoC more than once
   
However, you might consider becoming a mentor...


On Thursday, March 9, 2017 at 11:20:08 AM UTC, Jan Gorzny wrote:
>
> Hi,
>
> I thought I would take a minute to express my interest in the project 
> mentioned in the title and describe myself a bit before the application 
> procedure. I am a second year PhD student at the University of Waterloo 
> (Waterloo, Ontario, Canada), studying graph algorithms and complexity. I am 
> particularly interested in fixed-parameter analysis of graph problems and 
> fine-grained complexity, though I am also interested in other areas of 
> computer science. 
>
> The project looks interesting to me as I am familiar with concepts 
> mentioned in the project description. Modular decompositions, have been 
> used along with the notion of a 'modular-width' of a graph, in order to 
> parameterise several problems and obtain FPT results, as in e.g. [1]. 
> Ideally, I'd also like to see where these notions can be applied to other 
> FPT algorithms as well, but that's probably not the goal of this program. 
> My PhD thesis will likely focus on FPT in some way, and this was one area 
> of literature I was recently reading. Further, for my last MSc (I have two: 
> one in graph algorithms, one in model driven software engineering), I 
> characterised the end-vertices of LexBFS for bipartite permutation graphs 
> (see [2]), so I am familiar with LexBFS quite well too. 
>
> It looks like the aim of the project is to implement the algorithm for 
> modular decomposition of [3], and that doesn't seem unreasonable, along 
> with adding an efficient representation of LexBFS. Other (stretch) goals 
> listed are split decompositions and skew partitions of graphs. I'm not as 
> familiar with the most recent literature for these concepts: is [4] still 
> the fastest for skew partitions? is [5] best for computing split 
> decompositions?
>
> Are there are other ideas that the users/developers of Sage might want 
> that are related? If there are multiple students interested in the same 
> project, as there appears to be, then that might also be of interest. I 
> will try to think of some too. A possible idea (though it's probably 
> 'low-hanging fruit' in the tree of things to do) is to implement other 
> search algorithms in Sage. It looks clear that LexBFS is useful, but does 
> Sage have an implementation of LexDFS [6]? (a quick search in the ticket 
> tracker didn't show anything, but maybe that's because it's done)
>
> Lastly, are there any ideas that mentors for this project think might 
> require novel research? That is, developing *new* algorithms (and 
> implementing them) for problems that have not yet been solved. As a PhD 
> student, publications are always worth seeking out, though since that is 
> not the aim of the summer of code, I certainly can't expect it. I have 
> participated in the summer of code program twice before (once with the Java 
> Pathfinder team, and once with a project of TU Vienna, though it is now 
> apart of the AOSSIE), and in the latter case, my algorithms for proof 
> compression lead to two publications (one accepted [7], and one submitted). 
> I suspect such goals might also be of interest to mentors, so I thought I 
> would ask.
>
> Over the next few days, I will go through the suggested process of getting 
> familiar with the Sage development process (opening tickets and the like). 
> Until then, any questions and feedback to this post would help in the 
> upcoming application procedure. 
>
>
> Thanks,
>
> Jan Gorzny
>
>
> [1] https://arxiv.org/abs/1308.2858
> [2] 
> http://www.crypticcode.ca/jan.gorzny/wp-content/uploads/2015/09/2015-discrete-lbfs-ends.pdf
>  
> (to appear in DAM)
> [3] http://www.cs.toronto.edu/~mtedder/TedderModular.pdf
> [4] https://link.springer.com/chapter/10.1007%2F978-3-540-89550-3_11
> [5] http://epubs.siam.org/doi/10.1137/10080052X
> [6] http://epubs.siam.org/doi/abs/10.1137/050623498
> [7] 
> http://www.crypticcode.ca/jan.gorzny/wp-content/uploads/2015/09/2015-cade-folu.pdf
>

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