# HG changeset patch # User Markus Kaiser # Date 1406652612 -7200 # Node ID db04ec64fe7b141ef24718410c6c5c6dad8852d3 # Parent c02cfd41bcc49e948b25765a890d37ea3fefd804 repetition diff -r c02cfd41bcc4 -r db04ec64fe7b minimum_bisection/paper/term_paper.tex --- a/minimum_bisection/paper/term_paper.tex Tue Jul 29 18:49:41 2014 +0200 +++ b/minimum_bisection/paper/term_paper.tex Tue Jul 29 18:50:12 2014 +0200 @@ -246,7 +246,7 @@ f_e &= \sum_{i} \lambda_i \sum_{\substack{\alert{e_T} \in T_i:\\\structure{e} \in P_i(\alert{e_T})}} D_i(\alert{e_T}). \end{align} -If we again suppose to find a set of path trees such that +Suppose we find a set of path trees such that \begin{align} \forall \structure{e} \in E.\quad c_{e} &\geq \frac{1}{\alpha} \sum_{i} \lambda_i \sum_{\substack{\alert{e_T} \in T_i:\\\structure{e} \in P_i(\alert{e_T})}} C_i(\alert{e_T}) \intertext{we can again bound its congestion by the optimal solution using \cref{lem:optimal}.}