7个经典多色Ram sey数R(3,3,3,q)的新下界

New Lower Bounds of Seven Classical Multicolor Ramsey Numbers R (3,3,3, q )

提出了计算经典多色Ｒａｍｓｅｙ数Ｒ（ｑ１，ｑ２，…，ｑｎ）的下界的一个算法，得到７个新的下界：Ｒ（３，３，３，１５）≥４９２，Ｒ（３，３，３，１６）≥６０２，Ｒ（３，３，３，１７）≥６６２，Ｒ（３，３，３，１８）≥７６２，Ｒ（３，３，３，２０）≥８５８，Ｒ（３，３，３，２１）≥９１２，Ｒ（３，３，３，２２）≥９７２．

An algorithm to compute lower bounds of classical multicolor Ramsey numbers R(q 1,q 1,…,q n ).Seven new lower bounds was obtained: R(3,3,3,15)≥492,R(3,3,3,16)≥602,R(3,3,3,17)≥662,R(3,3,3,18)≥762,R(3,3,3,20)≥858,R(3,3,3,21)≥912,R(3,3,3,22)≥972.