arXiv subjects

Sarah Clusiau

Publications and source records attributed to Sarah Clusiau.

2 recordsLinked to original sources

arXiv2020

The Speed and Threshold of the Biased Perfect Matching Game

We show that Maker wins the Maker-Breaker perfect matching game in $\frac{n}{2}+o(n)$ turns when the bias is at least $\frac{n}{\log{n}}-\frac{f(n)n}{(\log{n})^{5/4}}$, for any $f$ going to infinity with $n$ and $n$ sufficiently large (in terms of $f$).

math.CO↗

arXiv2020

The Speed and Threshold of the Biased Hamilton Cycle Game

We show that there is a constant C such that for any $b<\frac{n}{\ln{n}}-\frac{Cn}{(\ln{n})^{3/2}}$, Maker wins the Maker-Breaker Hamilton cycle game in $n+\frac{Cn}{\sqrt{\ln{n}}}$ steps.

math.CO↗