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On the generalized Tur\'an number of complete bipartite graphs
Announce Type: cross Abstract: For graphs $F$ and $H$, the generalized Tur\'an number $\mathrm{ex}(n,F,H)$ denotes the maximum number of copies of $F$ in an $H$-free graph on $n$ vertices. We prove that if $s\in \{2,3\}$, $s< a\leq b$ and $t$ is sufficiently large, then $\mathrm{ex}(n,K_{a,b},K_{s,t})=\Theta(n^s)$. The $s=2$, $a=b=3$ case of this result answers a question of Spiro. Proving another conjecture of Spiro, we show that for every graph $F$ with at least one edge, there exist...
Porsche’s Cayenne Coupe Turbo will even make 911 owners nervous
Back in 2002, Porsche fans sputtered with rage as the Cayenne made its debut at the Paris Motor. More than 20 years later, Porsche now sells more SUVs than anything else in its lineup. Last year, the Macan and Cayenne accounted for 62 percent of all Porsche sales.