A Note on Planar Ramsey Numbers for a Triangle Versus Wheels

A Note on Planar Ramsey Numbers for a Triangle Versus Wheels
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DOI:
10.46298/dmtcs.584
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发表时间:
2012-11
期刊:
Discret. Math. Theor. Comput. Sci.
影响因子:
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通讯作者:
Guofei Zhou;Yaojun Chen;Z. Miao;S. Pirzada
Guofei Zhou;Yaojun Chen;Z. Miao;S. Pirzada
中科院分区:
其他
文献类型:
--
作者:
Guofei Zhou;Yaojun Chen;Z. Miao;S. Pirzada

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对于给定的两个图G和H,平面Ramsey数PR(G;H)是使得n个顶点上的每个平面图F要么包含G的副本,要么包含H的副本的最小整数n。在本文中,我们确定了三角形相对于轮子的所有平面Ramsey数。
For two given graphs G and H , the planar Ramsey number P R ( G; H ) is the smallest integer n such that every planar graph F on n vertices either contains a copy of G , or its complement contains a copy of H . In this paper, we determine all planar Ramsey numbers for a triangle versus wheels.