AI 中文总结
研究通过在特定路径上附加悬垂边得到的图Tₙ的拉姆齐数，利用其顶点集和边集的特性，证明了在n ∈ [1]₄时，R(Tₙ,Tₙ)等于(3n + 1)/2。
AI 中文摘要
本文针对奇数n，考虑顶点集为{x₁,....,xₙ,xₙ₊₁}且边集为{x₁x₂,x₂x₃,...,xₙ₋₁xₙ} ∪ {x₍ₙ₊₁₎/₂xₙ₊₁}的图Tₙ，证明了对于n ∈ [1]₄，拉姆齐数R(Tₙ,Tₙ)等于(3n + 1)/2。
英文摘要
In this paper, for odd $n$, we consider the graph $T_n$ with vertex set $\{x_1,....,x_n,x_{n+1}\}$ and edge set $\{x_{1}x_{2},x_{2}x_{3},...,x_{n-1}x_{n}\} \cup \{x_{\frac{n+1}{2}}x_{n+1}\}$ and prove that the Ramsey number $R(T_n,T_n)$ is equal to $\frac{3n+1}{2}$ for $n \in [1]_{4}$.
CommentsSeveral typos have been corrected
