Defining TikZ function to produce Knodel graphs
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
New contributor
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
New contributor
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
New contributor
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
tikz-pgf graphs math-operators
New contributor
New contributor
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asked 9 mins ago
AbrahamAbraham
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Abraham is a new contributor. Be nice, and check out our Code of Conduct.
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