Cfrtjryk

I tried to draw two graphs with Tikz. How can I align them vertically to each other? I want the knots to form the center, such that all six nodes align vertically. Furthermore I want to align the curly brackets using the nodes. But that does not work either. I want the parentheses to start at the beginning of the first node and end at the end of the last node. How can I do that?

This is what I get:

This is what I would like to have:

This code produces the picture above:

documentclass[a4paper]{article}

usepackage{tikz}



begin{document} 



usetikzlibrary{chains, positioning, decorations.pathreplacing}



defilsize{3}

defnodesize{6mm}



tikzset{>=latex}



begin{figure}[h]

centering



begin{tikzpicture}[shorten >=0pt, ->, draw=black!100]

    tikzstyle{every pin edge}=[<-,shorten <=1pt]

    tikzstyle{node}=[circle, draw, fill=black!100, minimum size=nodesize,inner sep=0pt]

    tikzstyle{input node}=[node, fill=black!0]



    % Nodes

    foreach name / y in {1,...,ilsize}

        node[input node] (In-name) at (0.0cm,-y cm) {$w_{y}$};



    % Labels %

    draw[-, decoration={brace,raise=0pt, amplitude=3mm}, decorate, xshift=10mm, yshift=0mm]

    (In-1) -- (In-3) node[black,midway,right=3mm] {$g(v)$};

    draw[-, decoration={brace, raise=0pt, amplitude=3mm, mirror}, decorate, xshift=10mm, yshift=0mm]

    (In-1) -- (In-3) node[black,midway,left=3mm] {$v$};

end{tikzpicture}



begin{tikzpicture}[shorten >=0pt, ->, draw=black!100]

    tikzstyle{every pin edge}=[<-,shorten <=1pt]

    tikzstyle{node}=[circle, draw, fill=black!100, minimum size=nodesize,inner sep=0pt]

    tikzstyle{input node}=[node, fill=black!0]



    % Nodes

    foreach name / y in {1,...,ilsize}

        node[input node] (In-name) at (0.0cm,-y cm) {$u_{y}$};



    % Labels %

    draw[-, decoration={brace,raise=0pt, amplitude=3mm}, decorate, xshift=0mm, yshift=0mm]

 (In-1) -- (In-3) node[black,midway,right=3mm] {$g(v)$};

  %(Out-1) -- (Out-3) node[black,midway,xshift] {$f(x)$};

    draw[-, decoration={brace, raise=0pt, amplitude=3mm, mirror}, decorate, xshift=0mm, yshift=0mm]

  (In-1) -- (In-3) node[black,midway,left=3mm] {$mathcal{K}=U*V*W$};

end{tikzpicture}

end{figure}



end{document}

as i mentioned, merging bot tikzpictures in one enable better controlling their elements positions:

edit:
position of braces are corrected acoording to new explanation in question

documentclass[a4paper]{article}

usepackage{tikz}

usetikzlibrary{decorations.pathreplacing} % tikz library should be here, in preamble



begin{document}

    begin{figure}[htb]

    centering

defilsize{3}

defnodesize{6mm}

    begin{tikzpicture}[

   B/.style = {% common "universal" style for all braces

               decoration={brace, amplitude=3mm,#1},% #1 is for mirroring, when necessary

               decorate},

 B/.default = ,  % default braces are not mirrored

circ/.style = {% style name, which is not used by tikz

               circle, draw, minimum size=nodesize, inner sep=0pt},

                        ]

% Nodes

foreach name / y in {1,...,ilsize}

        node[circ] (In-name) at (0,-y) {$w_{y}$};

% Labels

draw[B]

    (In-1.north -| In-1.east) -- node[right=3mm] {$g(v)$}               (In-3.south -| In-3.east);

draw[B=mirror]

    (In-1.north -| In-1.west) -- node[left=3mm] {$v$}   (In-3.south -| In-3.west) ;



    begin{scope}[yshift=-31mm]

% Nodes

foreach name / y in {1,...,ilsize}

        node[circ] (In-name) at (0,-y)   {$w_{y}$};

% Labels %

draw[B]        % draw brace

    (In-1.north -| In-1.east) -- node[right=3mm] {$g(v)$}               (In-3.south -| In-3.east);

draw[B=mirror] % draw mirrored brace

    (In-1.north -| In-1.west) -- node[left=3mm] {$mathcal{K}=U*V*W$}   (In-3.south -| In-3.west) ;

    end{scope}

end{tikzpicture}

    end{figure}

end{document}

in above mwe are:

• used recent syntax for defining nodes and other elements style (tikzstyle is obsolete, you should use tizset or as is used in mwe as options of tikzpicture)


• libraries should be loaded in document preamble


• never use names as node , which is already used as one of key element of the tikz
  


• it is sensible to define the common style for braces

result is:

You can draw this scheme with two matrix of math nodes delimited by braces and two labels for left and right text:

documentclass[tikz,border=2mm]{standalone} 

usetikzlibrary{positioning, matrix}



begin{document}

begin{tikzpicture}[%

    ball/.style={circle, minimum size=6mm, inner sep=0pt, draw},

    vector/.style={%

        matrix of math nodes, inner sep=0pt,

        row sep=2pt, nodes={ball, anchor=center}, 

        left delimiter={, right delimiter =}}

]



matrix[vector, 

    label={[label distance=3mm]left:{$v$}}, 

    label={[label distance=3mm]right:{$g(v)$}}] (v1) 

    {w_1\w_2\w_3\};



matrix[vector, 

    label={[label distance=3mm]left:{$mathcal{K}=U*V*W$}}, 

    label={[label distance=3mm]right:{$g(v)$}}, below=3mm of v1] (v2) 

    {u_1\u_2\u_3\};

end{tikzpicture}

end{document}

Thanks for adding a sketch. I take that you want to draw the braces with TikZ methods. Other than that, what you have looks like an equation, where you can use align to aliggn stuff. I left it in a figure environment.

documentclass[a4paper]{article}

usepackage{tikz}

usepackage{amsmath}

usetikzlibrary{positioning, decorations.pathreplacing}

tikzset{pics/.cd,

multidot/.style n args={2}{code={

foreach X in {1,...,#1}

{

node[circle,draw,minimum size=nodesize] (aux-X) at (0,{(#1/2+1/2-X)*9mm}){$#2_{X}$};}

draw[thick,decorate,decoration={brace,raise=5pt,amplitude=3mm}] (aux-1.north east) -- (aux-#1.south

east);

draw[thick,decorate,decoration={brace,raise=5pt,amplitude=3mm}] (aux-#1.south west) -- (aux-1.north

west);

}}}

begin{document} 





defnodesize{7mm}





begin{figure}[h]

begin{align*}

v&,vcenter{hbox{tikz{pic{multidot={3}{w}}}}},g(v)\

mathcal{K}=U*V*W&,vcenter{hbox{tikz{pic{multidot={3}{u}}}}},g(v)

end{align*}

end{figure}



end{document}

Edit: Some corrections after the clarification of the OP.

documentclass{article}

usepackage{tikz}



usetikzlibrary{chains, positioning, decorations.pathreplacing}

defilsize{3}

defnodesize{6mm}

tikzset{>=latex}



begin{document} 

begin{figure}[h]

centering

begin{tikzpicture}[shorten >=0pt, ->, draw=black!100]

    tikzstyle{every pin edge}=[<-,shorten <=1pt]

    tikzstyle{node}=[circle, draw, fill=black!100, minimum size=nodesize,inner sep=0pt]

    tikzstyle{input node}=[node, fill=black!0]



    % Nodes

    foreach name / y in {1,...,ilsize}

        node[input node] (In-name) at (0.0cm,-y cm) {$w_{y}$};



    % Labels %

    draw[-, decoration={brace,raise=6pt,amplitude=3mm}, decorate]

    (In-1.north) -- (In-3.south) node[black,midway,right=3mm, xshift=5] {$g(v)$};

    draw[-, decoration={brace,raise=6pt,amplitude=3mm, mirror}, decorate]

    (In-1.north) -- (In-3.south) node[black,midway,left=3mm, xshift=-5] {$v$};



    tikzstyle{every pin edge}=[<-,shorten <=1pt]

    tikzstyle{node}=[circle, draw, fill=black!100, minimum size=nodesize,inner sep=0pt]

    tikzstyle{input node}=[node, fill=black!0]



    % Nodes

    foreach name / y in {1,...,ilsize}

    pgfmathparse{y+3}

        node[input node] (In-name) at (0.0cm,-pgfmathresult cm) {$u_{y}$};



    % Labels %

    draw[-, decoration={brace,raise=6pt,amplitude=3mm}, decorate]

    (In-1.north) -- (In-3.south) node[black,midway,right=3mm, xshift=5] {$g(v)$};



    draw[-, decoration={brace, raise=6pt, amplitude=3mm, mirror}, decorate, xshift=0mm, yshift=0mm]

    (In-1.north) -- (In-3.south) node[black,midway,left=3mm, xshift=-5] {$mathcal{K}=U*V*W$};

end{tikzpicture}

end{figure}

end{document}

I couldn't resist doing it in two lines of code:

documentclass[a4paper]{article}

usepackage{tikz,amsmath}

begin{document} 



newcommand{wcir}[1]{tikz{node[draw,circle,minimum size=6mm,inner sep=0]{$#1$};}}



begin{align*}

v &begin{Bmatrix}wcir{w_1}\wcir{w_2}\wcir{w_3}end{Bmatrix} g(v) \

mathcal{K} = U*V*W &begin{Bmatrix}wcir{w_1}\wcir{w_2}\wcir{w_3}end{Bmatrix} g(v)

end{align*}



end{document}