diff --git a/main.tex b/main.tex index 4db224446252926d964ac467d0fbc4f617e56e5c..33b21a053f420db6b65470028eb9afa00e7fe92a 100644 --- a/main.tex +++ b/main.tex @@ -699,7 +699,7 @@ The following Lemma says that if a set $S$ splits the graph in two, then those t and similar for $\xi^{G\setminus X}$. Instead of choosing a step in $Y,X,X,Y,\cdots$ we could have chosen other orderings. The following diagram illustrates all possible interleavings, and the red line corresponds to the particular interleaving $Y,X,X,Y$ in the example above. \begin{center} - \includegraphics{diagram_paths2.pdf} \todo{change to paths3.pdf} + \includegraphics{diagram_paths3.pdf} \end{center} For the labels shown within the grid, define $p_{ij} = \frac{z^X_i}{z^X_i + z^Y_j}$. The probability of this particular interleaving $\xi^G$ is given by