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alloring-f-refinements.tex
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% on off
\begin{flushleft}
\hspace{.5cm}
\begin{tikzpicture}
\node[grphnode,anchor=east] (lhs) at (0,0) {
\tikz[ingrphdiag]{
\nP[on]{f2l-p1}{0,0}{r};
\nP[off]{f2l-p2}{1.2,0}{l,r,y};
\nP[off]{f2l-p3}{2.4,0}{l};
\link{f2l-p1-r}{f2l-p2-l};
\link{f2l-p2-r}{f2l-p3-l};
\stub{f2l-p2}{y};
}};
\path (lhs.east) +(.3,.09) edge[rule] +(1,.09)
+(1.3,0) coordinate (r);
\path (lhs.east) +(1,-.09) edge[rule] +(.3,-.09);
\node[grphnode,anchor=west] (rhs) at (r) {
\tikz[ingrphdiag]{
\nP[on]{f2r-p1}{0,0}{r};
\nP[on]{f2r-p2}{1.2,0}{l,r,y};
\nP[off]{f2r-p3}{2.4,0}{l};
\link{f2r-p1-r}{f2r-p2-l};
\link{f2r-p2-r}{f2r-p3-l};
\stub{f2r-p2}{y};
}};
\path (rhs.east) ++(1,0) node[anchor=west] {
$\begin{array}{@{}l@{}l@{}}
\Delta E &{}= \cost_1 - \cost_0 \\
&{}+ \cost_{11} - \cost_{00}
\end{array}$};
% $\Delta E = \cost_{11} - \cost_{00}$};
\end{tikzpicture}
\end{flushleft}
% off on
\begin{flushleft}
\hspace{.5cm}
\begin{tikzpicture}
\node[grphnode,anchor=east] (lhs) at (0,0) {
\tikz[ingrphdiag]{
\nP[off]{f2l-p1}{0,0}{r};
\nP[off]{f2l-p2}{1.2,0}{l,r,y};
\nP[on]{f2l-p3}{2.4,0}{l};
\link{f2l-p1-r}{f2l-p2-l};
\link{f2l-p2-r}{f2l-p3-l};
\stub{f2l-p2}{y};
}};
\path (lhs.east) +(.3,.09) edge[rule] +(1,.09)
+(1.3,0) coordinate (r);
\path (lhs.east) +(1,-.09) edge[rule] +(.3,-.09);
\node[grphnode,anchor=west] (rhs) at (r) {
\tikz[ingrphdiag]{
\nP[off]{f2r-p1}{0,0}{r};
\nP[on]{f2r-p2}{1.2,0}{l,r,y};
\nP[on]{f2r-p3}{2.4,0}{l};
\link{f2r-p1-r}{f2r-p2-l};
\link{f2r-p2-r}{f2r-p3-l};
\stub{f2r-p2}{y};
}};
\path (rhs.east) ++(1,0) node[anchor=west] {
$\begin{array}{@{}l@{}l@{}}
\Delta E &{}= \cost_1 - \cost_0 \\
&{}+ \cost_{11} - \cost_{00}
\end{array}$};
% $\Delta E = \cost_{11} - \cost_{00}$};
\end{tikzpicture}
\end{flushleft}
% off off
\begin{flushleft}
\hspace{.5cm}
\begin{tikzpicture}
\node[grphnode,anchor=east] (lhs) at (0,0) {
\tikz[ingrphdiag]{
\nP[off]{f2l-p1}{0,0}{r};
\nP[off]{f2l-p2}{1.2,0}{l,r,y};
\nP[off]{f2l-p3}{2.4,0}{l};
\link{f2l-p1-r}{f2l-p2-l};
\link{f2l-p2-r}{f2l-p3-l};
\stub{f2l-p2}{y};
}};
\path (lhs.east) +(.3,.09) edge[rule] +(1,.09)
+(1.3,0) coordinate (r);
\path (lhs.east) +(1,-.09) edge[rule] +(.3,-.09);
\node[grphnode,anchor=west] (rhs) at (r) {
\tikz[ingrphdiag]{
\nP[off]{f2r-p1}{0,0}{r};
\nP[on]{f2r-p2}{1.2,0}{l,r,y};
\nP[off]{f2r-p3}{2.4,0}{l};
\link{f2r-p1-r}{f2r-p2-l};
\link{f2r-p2-r}{f2r-p3-l};
\stub{f2r-p2}{y};
}};
\path (rhs.east) ++(1,0) node[anchor=west] {
$\begin{array}{@{}l@{}l@{}}
\Delta E &{}= \cost_1 - \cost_0 \\
&{}+ \cost_{01} + \cost_{10} - 2 \cost_{00}
\end{array}$};
% $\Delta E = \cost_{01} + \cost_{10} - 2 \cost_{00}$};
\end{tikzpicture}
\end{flushleft}
% on on
\begin{flushleft}
\hspace{.5cm}
\begin{tikzpicture}
\node[grphnode,anchor=east] (lhs) at (0,0) {
\tikz[ingrphdiag]{
\nP[on]{f2l-p1}{0,0}{r};
\nP[off]{f2l-p2}{1.2,0}{l,r,y};
\nP[on]{f2l-p3}{2.4,0}{l};
\link{f2l-p1-r}{f2l-p2-l};
\link{f2l-p2-r}{f2l-p3-l};
\stub{f2l-p2}{y};
}};
\path (lhs.east) +(.3,.09) edge[rule] +(1,.09)
+(1.3,0) coordinate (r);
\path (lhs.east) +(1,-.09) edge[rule] +(.3,-.09);
\node[grphnode,anchor=west] (rhs) at (r) {
\tikz[ingrphdiag]{
\nP[on]{f2r-p1}{0,0}{r};
\nP[on]{f2r-p2}{1.2,0}{l,r,y};
\nP[on]{f2r-p3}{2.4,0}{l};
\link{f2r-p1-r}{f2r-p2-l};
\link{f2r-p2-r}{f2r-p3-l};
\stub{f2r-p2}{y};
}};
\path (rhs.east) ++(1,0) node[anchor=west] {
$\begin{array}{@{}l@{}l@{}}
\Delta E &{}= \cost_1 - \cost_0 \\
&{}+ 2 \cost_{11} - \cost_{10} - \cost_{01}
\end{array}$};
% $\Delta E = 2 \cost_{11} - \cost_{10} - \cost_{01}$};
\end{tikzpicture}
\end{flushleft}
% Y on off
\begin{flushleft}
\hspace{.5cm}
\begin{tikzpicture}
\node[grphnode,anchor=east] (lhs) at (0,0) {
\tikz[ingrphdiag]{
\nP[on]{f2l-p1}{0,0}{r};
\nP[off]{f2l-p2}{1.2,0}{l,r,y};
\nP[off]{f2l-p3}{2.4,0}{l};
\link{f2l-p1-r}{f2l-p2-l};
\link{f2l-p2-r}{f2l-p3-l};
\nY{f2l-y}{1.2,1.2}{p};
\link{f2l-p2-y}{f2l-y-p};
}};
\path (lhs.east) +(.3,.09) edge[rule] +(1,.09)
+(1.3,0) coordinate (r);
\path (lhs.east) +(1,-.09) edge[rule] +(.3,-.09);
\node[grphnode,anchor=west] (rhs) at (r) {
\tikz[ingrphdiag]{
\nP[on]{f2r-p1}{0,0}{r};
\nP[on]{f2r-p2}{1.2,0}{l,r,y};
\nP[off]{f2r-p3}{2.4,0}{l};
\link{f2r-p1-r}{f2r-p2-l};
\link{f2r-p2-r}{f2r-p3-l};
\nY{f2r-y}{1.2,1.2}{p};
\link{f2r-p2-y}{f2r-y-p};
}};
\path (rhs.east) ++(1,0) node[anchor=west] {
$\begin{array}{@{}l@{}l@{}}
\Delta E &{}= \cost_1 - \cost_0 \\
&{}+ \cost_{11} - \cost_{00} \\
&{}+ \cost_1^Y - \cost_0^Y
\end{array}$};
\end{tikzpicture}
\end{flushleft}
% Y off on
\begin{flushleft}
\hspace{.5cm}
\begin{tikzpicture}
\node[grphnode,anchor=east] (lhs) at (0,0) {
\tikz[ingrphdiag]{
\nP[off]{f2l-p1}{0,0}{r};
\nP[off]{f2l-p2}{1.2,0}{l,r,y};
\nP[on]{f2l-p3}{2.4,0}{l};
\link{f2l-p1-r}{f2l-p2-l};
\link{f2l-p2-r}{f2l-p3-l};
\nY{f2l-y}{1.2,1.2}{p};
\link{f2l-p2-y}{f2l-y-p};
}};
\path (lhs.east) +(.3,.09) edge[rule] +(1,.09)
+(1.3,0) coordinate (r);
\path (lhs.east) +(1,-.09) edge[rule] +(.3,-.09);
\node[grphnode,anchor=west] (rhs) at (r) {
\tikz[ingrphdiag]{
\nP[off]{f2r-p1}{0,0}{r};
\nP[on]{f2r-p2}{1.2,0}{l,r,y};
\nP[on]{f2r-p3}{2.4,0}{l};
\link{f2r-p1-r}{f2r-p2-l};
\link{f2r-p2-r}{f2r-p3-l};
\nY{f2r-y}{1.2,1.2}{p};
\link{f2r-p2-y}{f2r-y-p};
}};
\path (rhs.east) ++(1,0) node[anchor=west] {
$\begin{array}{@{}l@{}l@{}}
\Delta E &{}= \cost_1 - \cost_0 \\
&{}+ \cost_{11} - \cost_{00} \\
&{}+ \cost_1^Y - \cost_0^Y
\end{array}$};
\end{tikzpicture}
\end{flushleft}
% Y off off
\begin{flushleft}
\hspace{.5cm}
\begin{tikzpicture}
\node[grphnode,anchor=east] (lhs) at (0,0) {
\tikz[ingrphdiag]{
\nP[off]{f2l-p1}{0,0}{r};
\nP[off]{f2l-p2}{1.2,0}{l,r,y};
\nP[off]{f2l-p3}{2.4,0}{l};
\link{f2l-p1-r}{f2l-p2-l};
\link{f2l-p2-r}{f2l-p3-l};
\nY{f2l-y}{1.2,1.2}{p};
\link{f2l-p2-y}{f2l-y-p};
}};
\path (lhs.east) +(.3,.09) edge[rule] +(1,.09)
+(1.3,0) coordinate (r);
\path (lhs.east) +(1,-.09) edge[rule] +(.3,-.09);
\node[grphnode,anchor=west] (rhs) at (r) {
\tikz[ingrphdiag]{
\nP[off]{f2r-p1}{0,0}{r};
\nP[on]{f2r-p2}{1.2,0}{l,r,y};
\nP[off]{f2r-p3}{2.4,0}{l};
\link{f2r-p1-r}{f2r-p2-l};
\link{f2r-p2-r}{f2r-p3-l};
\nY{f2r-y}{1.2,1.2}{p};
\link{f2r-p2-y}{f2r-y-p};
}};
\path (rhs.east) ++(1,0) node[anchor=west] {
$\begin{array}{@{}l@{}l@{}}
\Delta E &{}= \cost_1 - \cost_0 \\
&{}+ \cost_{01} + \cost_{10} - 2 \cost_{00} \\
&{}+ \cost_1^Y - \cost_0^Y
\end{array}$};
\end{tikzpicture}
\end{flushleft}
% Y on on
\begin{flushleft}
\hspace{.5cm}
\begin{tikzpicture}
\node[grphnode,anchor=east] (lhs) at (0,0) {
\tikz[ingrphdiag]{
\nP[on]{f2l-p1}{0,0}{r};
\nP[off]{f2l-p2}{1.2,0}{l,r,y};
\nP[on]{f2l-p3}{2.4,0}{l};
\link{f2l-p1-r}{f2l-p2-l};
\link{f2l-p2-r}{f2l-p3-l};
\nY{f2l-y}{1.2,1.2}{p};
\link{f2l-p2-y}{f2l-y-p};
}};
\path (lhs.east) +(.3,.09) edge[rule] +(1,.09)
+(1.3,0) coordinate (r);
\path (lhs.east) +(1,-.09) edge[rule] +(.3,-.09);
\node[grphnode,anchor=west] (rhs) at (r) {
\tikz[ingrphdiag]{
\nP[on]{f2r-p1}{0,0}{r};
\nP[on]{f2r-p2}{1.2,0}{l,r,y};
\nP[on]{f2r-p3}{2.4,0}{l};
\link{f2r-p1-r}{f2r-p2-l};
\link{f2r-p2-r}{f2r-p3-l};
\nY{f2r-y}{1.2,1.2}{p};
\link{f2r-p2-y}{f2r-y-p};
}};
\path (rhs.east) ++(1,0) node[anchor=west] {
$\begin{array}{@{}l@{}l@{}}
\Delta E &{}= \cost_1 - \cost_0 \\
&{}+ 2 \cost_{11} - \cost_{10} - \cost_{01} \\
&{}+ \cost_1^Y - \cost_0^Y
\end{array}$};
\end{tikzpicture}
\end{flushleft}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "thesis"
%%% End: