During a conference at our institute in honor of Prof. C R Rao’s 90th birthday celebrations, Prof. K R Parthasarathy asked me if I had read the proof of four colour theorem (4CT). I said I know the idea behind it and the general outline. He told me that that is not enough. A good part of graph theory was developed due to 4CT, it is essential that one understands its proof. He says that is how one can build the necessary **muscle power**. Who am I to say no? So I start out the mammoth task of trying to understand the proof of 4CT. I am keeping 3 months for the same and if it does not go well, I plan to try to prove it from the scratch.

There are some interesting problems that I happen to come across during the conference, which I will post here soon.