Haj\'os conjectured that every graph containing no subdivision of the complete $K_{s+1}$ is properly $s$-colorable. This conjecture was disproved by Catlin. Indeed, maximum chromatic number such graphs $\Omega(s^2/\log s)$. We prove $O(s)$ colors are enough for a weakening this only requires monochromatic component to have bounded size (so-called clustered coloring). Our approach leads more res...

Society is increasingly impacted by natural hazards which cause significant damage 6 in economic and human terms. Many of these natural hazards are weather and 7 climate related. Here we show that North Atlantic atmospheric circulation regimes 8 affect the propensity of extreme wind speeds in Europe. We also show evidence 9 that extreme wind speeds are long-range dependent, follow a Generalised...