\relax 
\@writefile{toc}{\contentsline {section}{\numberline {1}Lovasz-Simonovits Theorem for random walks}{1}}
\newlabel{thm:LS}{{1}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Proof of the L-S theorem}{2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Facts about $I_t$}{2}}
\newlabel{lem:monotone}{{1}{2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Change in $I_t$}{2}}
\newlabel{lem:main}{{2}{3}}
\newlabel{eqn:w1}{{1}{3}}
\newlabel{eqn:w2w3}{{2}{3}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Putting together a proof for L-S}{4}}