The Speed and Threshold of the Biased Hamilton Cycle Game

Autor: Brustle, Noah, Clusiau, Sarah, Narayan, Vishnu V., Ndiaye, Ndiamé, Reed, Bruce, Seamone, Ben
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 11 pages
Databáze: arXiv