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
New contributor
asked 12 mins ago
AbrahamAbraham
283
283
New contributor
New contributor
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "85"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Abraham is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f477073%2fdefining-tikz-function-to-produce-knodel-graphs%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Abraham is a new contributor. Be nice, and check out our Code of Conduct.
Abraham is a new contributor. Be nice, and check out our Code of Conduct.
Abraham is a new contributor. Be nice, and check out our Code of Conduct.
Abraham is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to TeX - LaTeX Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f477073%2fdefining-tikz-function-to-produce-knodel-graphs%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown