The Ramsey number R(C8, K8)

The Ramsey number R(C8, K8)
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DOI:
10.1016/j.disc.2007.11.064
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发表时间:
2009-03
期刊:
Discret. Math.
影响因子:
--
通讯作者:
Yunqing Zhang;Kemin Zhang
Yunqing Zhang;Kemin Zhang
中科院分区:
其他
文献类型:
--
作者:
Yunqing Zhang;Kemin Zhang

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对于给定的两个图G1和G2,Ramsey数R(G1,G2)是最小整数n,使得对于任意n阶图G,要么G包含G1,要么G的补图包含G2.设Cm表示长为m的圈,Kna表示n阶完全图.我们证明了R(C8,K8)=50。
For two given graphs G1and G2, the Ramsey number R(G1,G2) is the smallest integer n such that for any graph G of order n, either G contains G1or the complement of G contains G2. Let Cmdenote a cycle of length m and Kna complete graph of order n. We show that R(C8,K8)=50.