%!TEX root = main.tex
\begin{tikzpicture}
[xscale=\AntichainToSubwordScaleX, 
yscale = \AntichainToSubwordScaleY, 
>=latex, 
%font = \small
]
\def\posetedgecolor{blue}
\node(1) at (0,0) {\circled{$\aa$}}; %{$1$};
\node(2) at (1,-1) {{$\bb=M_1$}}; %{$2$};
\node(3) at (2,0) {\circled{$\cc$}}; %{$3$};
\node(4) at (3,1) {{$\dd$}}; % {$4$};
\node(5) at (4,2) {{$\ee=M_2$}}; % {$5$};
\node(6) at (5,1) {{$\ff$}}; % {$6$};
\node(7) at (6,2) {\circled{$\gg$}}; % {$7$};
\node(8) at (7,3) {{$\hh=M_3$}}; % {$8$};
\node(9) at (8,2) {\circled{$\ii$}}; % {$9$};
\node(10) at (9,1) {{$\jj$}}; % {$10$};

\node[\posetedgecolor] at (-0.9,0) {$\underline{1}$};
\draw[->] (2) -- (1) ; %node[\posetedgecolor,pos=0.5] {$0$}; 
\draw[->]  (2) -- (3) node[\posetedgecolor,pos=0.5] {\small $1$}; 
\draw[->] (3) -- (4) ; %node[\posetedgecolor,pos=0.5] {$1$};  
\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] {$1$};  
\draw[->] (9) -- (8) node[\posetedgecolor,pos=0.5] {\small $0$};  
\draw[->] (10) -- (9); %node[\posetedgecolor,pos=0.5] {$0$}; 
\end{tikzpicture}