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Defining TikZ function to produce Knodel graphs

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0

I am trying to define a function that will produce a Knodel graph (examples pictured below).

I am not completely sure how to use mathematical operations in TikZ. Also, I am not sure how to change the type of edge (bold, dashed, etc.) on different values for a parameter in the function.

Here is pseudocode for the TikZ function I would like to define:

documentclass[border=5mm]{standalone}

usepackage{tikz}

begin{document}



begin{tikzpicture}[auto, scale=0.9]

tikzstyle{vertex}=[draw, circle, inner sep=0.55mm]



[declare function={

    %

    %assuming delta and n are both positive integers

    %assuming 1 <= delta <= floor(log base 2 (n))

    %

    knodel(delta, n) =

        % make the vertices

        for i in [1, 2]:

            for j in [0, floor(n/2) - 1]:

                node at (i, j) [vertex] {};



        % make the edges

        for j in [0, floor(n/2) - 1]:

            for k in [0, delta - 1]:

                draw (1,j) to (2, (j + 2^k - 1) mod floor(n/2));

}]



draw {knodel(14, 3)}



end{tikzpicture}

end{document}

Here is an example from a paper that I read:

tikz-pgf graphs math-operators

share

asked 5 mins ago

AbrahamAbraham

283

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Abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

add a comment | 

0

I am trying to define a function that will produce a Knodel graph (examples pictured below).

I am not completely sure how to use mathematical operations in TikZ. Also, I am not sure how to change the type of edge (bold, dashed, etc.) on different values for a parameter in the function.

Here is pseudocode for the TikZ function I would like to define:

documentclass[border=5mm]{standalone}

usepackage{tikz}

begin{document}



begin{tikzpicture}[auto, scale=0.9]

tikzstyle{vertex}=[draw, circle, inner sep=0.55mm]



[declare function={

    %

    %assuming delta and n are both positive integers

    %assuming 1 <= delta <= floor(log base 2 (n))

    %

    knodel(delta, n) =

        % make the vertices

        for i in [1, 2]:

            for j in [0, floor(n/2) - 1]:

                node at (i, j) [vertex] {};



        % make the edges

        for j in [0, floor(n/2) - 1]:

            for k in [0, delta - 1]:

                draw (1,j) to (2, (j + 2^k - 1) mod floor(n/2));

}]



draw {knodel(14, 3)}



end{tikzpicture}

end{document}

Here is an example from a paper that I read:

tikz-pgf graphs math-operators

share

asked 5 mins ago

AbrahamAbraham

283

New contributor

Abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

add a comment | 

I am trying to define a function that will produce a Knodel graph (examples pictured below).

I am not completely sure how to use mathematical operations in TikZ. Also, I am not sure how to change the type of edge (bold, dashed, etc.) on different values for a parameter in the function.

Here is pseudocode for the TikZ function I would like to define:

documentclass[border=5mm]{standalone}

usepackage{tikz}

begin{document}



begin{tikzpicture}[auto, scale=0.9]

tikzstyle{vertex}=[draw, circle, inner sep=0.55mm]



[declare function={

    %

    %assuming delta and n are both positive integers

    %assuming 1 <= delta <= floor(log base 2 (n))

    %

    knodel(delta, n) =

        % make the vertices

        for i in [1, 2]:

            for j in [0, floor(n/2) - 1]:

                node at (i, j) [vertex] {};



        % make the edges

        for j in [0, floor(n/2) - 1]:

            for k in [0, delta - 1]:

                draw (1,j) to (2, (j + 2^k - 1) mod floor(n/2));

}]



draw {knodel(14, 3)}



end{tikzpicture}

end{document}

Here is an example from a paper that I read:

tikz-pgf graphs math-operators

share

asked 5 mins ago

AbrahamAbraham

283

New contributor

Abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

documentclass[border=5mm]{standalone}

usepackage{tikz}

begin{document}



begin{tikzpicture}[auto, scale=0.9]

tikzstyle{vertex}=[draw, circle, inner sep=0.55mm]



[declare function={

    %

    %assuming delta and n are both positive integers

    %assuming 1 <= delta <= floor(log base 2 (n))

    %

    knodel(delta, n) =

        % make the vertices

        for i in [1, 2]:

            for j in [0, floor(n/2) - 1]:

                node at (i, j) [vertex] {};



        % make the edges

        for j in [0, floor(n/2) - 1]:

            for k in [0, delta - 1]:

                draw (1,j) to (2, (j + 2^k - 1) mod floor(n/2));

}]



draw {knodel(14, 3)}



end{tikzpicture}

end{document}

share

asked 5 mins ago

AbrahamAbraham

283

New contributor

Abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share

asked 5 mins ago

AbrahamAbraham

283

New contributor

Abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 5 mins ago

AbrahamAbraham

283

New contributor

Abraham is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 5 mins ago

AbrahamAbraham

283