\documentclass[12pt]{article} \usepackage{amsmath,mathrsfs,bbm} \usepackage{amssymb} \textwidth=4.825in \overfullrule=0pt \thispagestyle{empty} \begin{document} \noindent % % {\bf Katarzyna Rybarczyk} % % \medskip \noindent % % {\bf Sharp Threshold Functions for Random Intersection Graphs via a Coupling Method} % % \vskip 5mm \noindent % % % % We present a new method which enables us to find threshold functions for many properties in random intersection graphs. This method is used to establish sharp threshold functions in random intersection graphs for $k$--connectivity, perfect matching containment and Hamilton cycle containment. \end{document} .