Defining TikZ function to produce Knodel graphs












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:
enter image description here









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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:
    enter image description here









    share







    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.























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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:
      enter image description here









      share







      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.












      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:
      enter image description here







      tikz-pgf graphs math-operators





      share







      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







      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



      share






      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 9 mins ago









      AbrahamAbraham

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      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.





      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.






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






















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