Ramsey Numbers of $$C_4$$C4 versus Wheels and Stars

Ramsey Numbers of $$C_4$$C4 versus Wheels and Stars
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DOI:
10.1007/s00373-014-1504-3
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发表时间:
2015-11
影响因子:
0.7
通讯作者:
Yali Wu;Yongqi Sun;Rui Zhang;S. Radziszowski
Yali Wu;Yongqi Sun;Rui Zhang;S. Radziszowski
中科院分区:
数学4区
文献类型:
--
作者:
Yali Wu;Yongqi Sun;Rui Zhang;S. Radziszowski

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Letdenote the maximum size of a-free graph of order. For an even integer or odd prime power, we prove that, which leads to an improvement of the upper bound on Ramsey numbers, whereis a wheel of order. By using a simple polarity graphfor a prime power, we construct the graphs whose complements do not containor, and then determine some exact values ofand. In particular, we prove thatfor,for, andfor.