Mixing
Schnyder's theorem on planar graphs
The theorem states the order dimension of the incidence poset of a planar graph is at most 3.
I'm having some trouble understanding the order relation used here. can someone give a simple example and explanation on the anti-chains that form and why its 3?
graph-theory proof-explanation planar-graph
edited Jan 1 at 3:40
Alex Ravsky
39.4k32181
asked Dec 31 '18 at 7:45
PitaPita
1033
add a comment |
The theorem states the order dimension of the incidence poset of a planar graph is at most 3.
I'm having some trouble understanding the order relation used here. can someone give a simple example and explanation on the anti-chains that form and why its 3?
graph-theory proof-explanation planar-graph
edited Jan 1 at 3:40
Alex Ravsky
39.4k32181
asked Dec 31 '18 at 7:45
PitaPita
1033
add a comment |
The theorem states the order dimension of the incidence poset of a planar graph is at most 3.
I'm having some trouble understanding the order relation used here. can someone give a simple example and explanation on the anti-chains that form and why its 3?
graph-theory proof-explanation planar-graph
edited Jan 1 at 3:40
Alex Ravsky
39.4k32181
asked Dec 31 '18 at 7:45
PitaPita
1033
The theorem states the order dimension of the incidence poset of a planar graph is at most 3.
I'm having some trouble understanding the order relation used here. can someone give a simple example and explanation on the anti-chains that form and why its 3?
graph-theory proof-explanation planar-graph
graph-theory proof-explanation planar-graph
edited Jan 1 at 3:40
Alex Ravsky
39.4k32181
asked Dec 31 '18 at 7:45
PitaPita
1033
edited Jan 1 at 3:40
Alex Ravsky
39.4k32181
asked Dec 31 '18 at 7:45
PitaPita
1033
edited Jan 1 at 3:40
Alex Ravsky
39.4k32181
edited Jan 1 at 3:40
Alex Ravsky
39.4k32181
edited Jan 1 at 3:40
Alex Ravsky
39.4k32181
39.4k32181
asked Dec 31 '18 at 7:45
PitaPita
1033
asked Dec 31 '18 at 7:45
PitaPita
1033
asked Dec 31 '18 at 7:45
PitaPita
1033
1033
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
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: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
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
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
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%2fmath.stackexchange.com%2fquestions%2f3057496%2fschnyders-theorem-on-planar-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
Thanks for contributing an answer to Mathematics 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.
Use MathJax to format equations. MathJax reference.
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%2fmath.stackexchange.com%2fquestions%2f3057496%2fschnyders-theorem-on-planar-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
