最大度数较大的树的拉姆齐数与车轮图 $W_8$$ 的比较

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-26 DOI:10.1007/s40840-024-01733-0

Zhi Yee Chng, Thomas Britz, Ta Sheng Tan, Kok Bin Wong

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引用次数: 0

摘要

拉姆齐数$R(T_n,W_8)$是为每个树图秩为$n\ge 7$ 和最大度为$\Delta (T_n)$等于$n-4$或$n-5$的树图$T_n$确定的。这些数字表明，陈、张和张以及哈菲德和巴斯克罗的猜想得到了强有力的支持，即当（m/ge 4\) 是偶数时，对于每个阶为（n/ge m-1）的树图（T_n）来说，（R(T_n,W_m) = 2n-1/）具有（\Delta (T_n)\le n-m+2/）。

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The Ramsey Numbers for Trees of Large Maximum Degree Versus the Wheel Graph $$W_8$$

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The Ramsey Numbers for Trees of Large Maximum Degree Versus the Wheel Graph $$W_8$$

The Ramsey numbers $R(T_n,W_8)$ are determined for each tree graph $T_n$ of order $n\ge 7$ and maximum degree $\Delta (T_n)$ equal to either $n-4$ or $n-5$. These numbers indicate strong support for the conjecture, due to Chen, Zhang and Zhang and to Hafidh and Baskoro, that $R(T_n,W_m) = 2n-1$ for each tree graph $T_n$ of order $n\ge m-1$ with $\Delta (T_n)\le n-m+2$ when $m\ge 4$ is even.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.