经典Ramsey数R(7,n)的5个下界

The Lower Bounds of Five Classical Ramsey Numbers R(7,n)

通过计算机构造了５个完全图的新的循环图分解，从而获得了Ｒａｍｓｅｙ数Ｒ（７，１８），Ｒ（７，１９），Ｒ（７，２０），Ｒ（７，２１）和Ｒ（７，２２）的下界．这５个结果填补了Ｒａｍｓｅｙ数研究的５个空白．

Five new decompositions of a complete graph into cyclic graph are constructed by computer and lower bounds of Ramsey numbers R(7,18) ,R(7,19),R(7,20),R(7,21) and R(7,22) are obtained.These results fill in five blanks of research of Ramsey number.