\magnification=1200 \hsize=4in \overfullrule=0pt \input amssym %\def\frac#1 #2 {{#1\over #2}} \def\emph#1{{\it #1}} \def\em{\it} \nopagenumbers \noindent % % {\bf Yuqin Zhang and Ren Ding} % % \medskip \noindent % % {\bf A Note about Bezdek's Conjecture on Covering an Annulus by Strips} % % \vskip 5mm \noindent % % % % A closed plane region between two parallel lines is called a strip. Andr\'{a}s Bezdek posed the following conjecture: {\it For each convex region $K$ there is an $\varepsilon>0$ such that if $\varepsilon K$ lies in the interior of $K$ and the annulus $K\backslash \varepsilon K$ is covered by finitely many strips, then the sum of the widths of the strips must be at least the minimal width of $K$.} In this paper, we consider problems which are related to the conjecture. \bye .