%!TEX root = main.tex
\begin{tikzpicture}[xscale=\AntichainToSubwordScaleX, 
yscale = \AntichainToSubwordScaleY, 
>=latex,
%font = \footnotesize
font = \small
]
\def\posetedgecolor{blue}
\node(1) at (0,0) {{$\aa$}}; %{$1$};
\node(2) at (1,-1) {{$\bb$}}; %{$2$};
\node(3) at (2,0) {{$\cc$}}; %{$3$};
\node(4) at (3,1) {\circled{$\dd$}}; % {$4$};
\node(5) at (4,2) {{$\ee=M_1$}}; % {$5$};
\node(6) at (5,1) {{$\ff$}}; % {$6$};
\node(7) at (6,2) {{$\gg$}}; % {$7$};
\node(8) at (7,3) {{$\hh$}}; % {$8$};
\node(9) at (8,2) {{$\ii$}}; % {$9$};
\node(10) at (9,1) {\circled{$\jj$}}; % {$10$};

\node[\posetedgecolor] at (-0.7,0) {$\underline{1}$};
\draw[->] (2) -- (1) node[\posetedgecolor,pos=0.5] {\small $0$}; 
\draw[->]  (2) -- (3) node[\posetedgecolor,pos=0.5] {\small $1$}; 
\draw[->] (3) -- (4) node[\posetedgecolor,pos=0.5] {\small $1$};  
\draw[->] (4) -- (5); %node[\posetedgecolor,pos=0.5,right,left] {$1$}; 
\draw[->] (6) -- (5) node[\posetedgecolor,pos=0.5] {\small $0$}; 
\draw[->] (6) -- (7) node[\posetedgecolor,pos=0.5] {\small $1$};  
\draw[->] (7) -- (8) node[\posetedgecolor,pos=0.5] {\small $1$};  
\draw[->] (9) -- (8) node[\posetedgecolor,pos=0.5] {\small $0$};  
\draw[->] (10) -- (9) node[\posetedgecolor,pos=0.5] {\small $0$}; 
\end{tikzpicture}