| Ramsey problems are not onCy famous but aCso hot anddifficult problems among Combinatorics, (Discrete Mathematics, Graph Theory and Computational Method. The (Ramsey theory plays an important role in above each branch of mathematics,This thesis intends to study the (Ramsey-type problems by classifying and discussing for their preliminary application in the Competition Mathematics.Firstly, on the Basis of introducing the background knowledge of the Ramsey theory, it explored the composing of (Ramsey-type problems, and discussed the necessity of studying (Ramsey-type problems in the Competition Mathematics.Secondly, it analysedandinvestigatedthe basic theory and some skiffs of (Ramsey-type problems met in the Competition Mathematics in 10 aspects.Finally, aiming at the applications of the advanced results of (Ramsey problems in the Competition Mathematics, the researcher suggested some personal opinions. |
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