For two given graphs G(1) and G(2), the Ramsey number R(G(1), G(2)) is the smallest integer n such that for any graph G of order n, either G contains G(1) or the complement of G contains G(2). Let T-n denote a tree of order n and W-m a wheel of order m + 1. To the best of our knowledge, only R(T-n, W-m) with small wheels are known. In this paper, we show that R(T-m, W-m) = 3n - 2 for odd m with n > 756m(10).
机构:
Huaiyin Normal Univ, Sch Math Sci, Huaian 223001, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math Sci, Huaian 223001, Jiangsu, Peoples R China
Sun, Zhi-Hong
Wang, Lin-Lin
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China Univ Min & Technol, Sch Sci, Xuzhou 221116, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math Sci, Huaian 223001, Jiangsu, Peoples R China
Wang, Lin-Lin
Wu, Yi-Li
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Huaiyin Normal Univ, Sch Math Sci, Huaian 223001, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math Sci, Huaian 223001, Jiangsu, Peoples R China
机构:
Changsha University of Science and Technology,School of Mathematics and StatisticsChangsha University of Science and Technology,School of Mathematics and Statistics
Si-Nan Hu
Yue-Jian Peng
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Hunan University,School of MathematicsChangsha University of Science and Technology,School of Mathematics and Statistics