I've just went through the 1st year of my PhD in France, it is related to Floer Homology. I didn't know what it was really about at that time, I chosed this subject because I thought it would combine all the stuff I love (different facets of differential geometry, algebraic topology, functional analysis...) but I kind of regret this choice now : I may like to learn and discover such complex and in the same time beautiful theories, I don't feel like building them, to sum up, I'm a bit fed up with all the abstract nonsense ...
On the other way, I had to teach a basic course in graph theory, a topic I never had met before. I really fell in love with it, since then, I spent my time reading stuff about graph theory and now I would like to change my plans, I didn't get any useful answers on french forums so I'll try here : -Is there a way, in France or abroad, to switch from my ongoing thesis to a PhD in graph theory? If not, is there a (not too long) bridge between these two?
I know a lot of you are going to think that I'm just avoiding difficulty and that I'll fall into it again when reaching a higher level in graph theory but I've already went through with that question and I'd appreciate only answers really related to my question.
Thanx you all for the attention!