Chris has made comments directly on your concepts on graph coloring. Here I like to make quite different views. As far as I know graph coloring started through the four color map problem in 1852.  I don't know the exact number of papers published in the topic but I know that even for four color problem the number is quite high. Think also researchers worked on the problem without producing anything important. Then you should answer whether your concepts have been considered before or not. I personally have been working in graph theory but my interest in graph coloring problems is not so new. I strated to gain information about four color problem from John Koch in 1976 or so and then I learned the difficulties of four color theorem from Edward Swart while I was in Waterloo in 1980 through the discussions about the complexity of the graceful tree conjecture. I was saying the GTC is much difficult then 4CT while Swart saying is not. In 90's I communicated with D. Sanders about hamiltonian graphs and 4CT. After all these I proposed spiral chain coloring concept. It has been almost two years passed after the announcement of proof for 4CT. My conclusion so far is that the concept of spiral chains in graphs is a very powerful tool and never has been considered by someone else.  Well last thing I like to add is I have received several comments advicing me that I should be more exact in my proof etc. I am asking whether the existing proof (known proofs) of the 4CT (which I believe it is correct) but is not very exact at least from the point of the readability. Anyway, good luck! Cahit Cahit I must disagree with your proposed soloution to the graph colouring problem. Whilst we all know that graph colouring is very compliated subject I would sugest that it is best dealt with using felt tip pens and crayons. These come in a variety of vibrant colours and are non permenant should you get any on your clothes. My last published research paper centred on 'painting by numbers' and I am considering doing another on 'join the dots'. I hope you find this advise useful