  We show that the norm graph constructed in [J. Koll\'{a}r, L. R\'{o}nyai and
T. Szab\'o, Norm-graphs and bipartite Tur\'{a}n numbers, Combinatorica, 16
(1996) 399--406] with $n$ vertices about $\frac{1}{2}n^{2-1/t}$ edges, which
contains no copy of $K_{t,(t-1)!+1}$, does not contain a copy of
$K_{t+1,(t-1)!-1}$.
