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Qing-Qing Zhao

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Preprint Sep 2026

Multicolor Ramsey and list Ramsey numbers for star-like trees

For a graph \(H\), the \(k\)-color Ramsey number \(r(H;k)\) is the least integer \(N\) such that every \(k\)-edge-coloring of \(K_N\) contains a monochromatic copy of \(H\). A \(k\)-list assignment has \(|L(e)|=k\) for every edge. The list Ramsey number \(r_\ell(H;k)\) is the least integer \(N\) for which there exists...

Qing-Qing Zhao, Ya-Ping Mao, Xiang-Qian Zhou · 0 citations
Preprint Aug 2026

Gap spectra and densities of slow Fibonacci walks

Let $F_1=F_2=1$ and $F_{t+2}=F_{t+1}+F_t$ for $t\geq1$. For every $n\geq2$, there are unique integers $a,b,t$ such that $n=aF_t+bF_{t-1}$ with $t\geq2$ and $1\leq a\leq b\leq F_t$. The Fibonacci walk with initial pair $(b,a)$ reaches $n$ as late as possible, and the term following $n$ in this walk is $\lfloor\phi n\rfl...

Yaping Mao, Qing-Qing Zhao · 0 citations

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