Calculate the resistance between 2 adjacent nodes on a shape using graph theoryGraph Theory - How can I calculate the number of vertices and edges, if given this exampleConstruction of regular graphsMaximum number of points at distance exactly one where distance between points is at least 1In graph theory, what is the difference between a “trail” and a “path”?What's the difference between the automorphism and isomorphism of graph?Finding the shortest cycle in a graph using every edgeSpectrum of Line graph of regular graphGraph theory: Relation between complete regularity and distance-transitivityHow many edge deletions make a $4$-regular graph on $7$ vertices planar?Surjective homomorphisms in graph theory.

What is the likely impact of grounding an entire aircraft series?

"One can do his homework in the library"

Is there an equal sign with wider gap?

Space in array system equations

Why does Deadpool say "You're welcome, Canada," after shooting Ryan Reynolds in the end credits?

infinitive telling the purpose

Single word request: Harming the benefactor

What Happens when Passenger Refuses to Fly Boeing 737 Max?

What is the chance of making a successful appeal to dismissal decision from a PhD program after failing the qualifying exam in the 2nd attempt?

Can someone explain what is being said here in color publishing in the American Mathematical Monthly?

How strictly should I take "Candidates must be local"?

How much attack damage does the AC boost from a shield prevent on average?

Offered promotion but I'm leaving. Should I tell?

Do Bugbears' arms literally get longer when it's their turn?

Solving "Resistance between two nodes on a grid" problem in Mathematica

Placing subfig vertically

How do I deal with a powergamer in a game full of beginners in a school club?

How does airport security verify that you can carry a battery bank over 100 Wh?

Replacing Windows 7 security updates with anti-virus?

Is there any way to damage Intellect Devourer(s) when already within a creature's skull?

Built-In Shelves/Bookcases - IKEA vs Built

Are babies of evil humanoid species inherently evil?

Unreachable code, but reachable with exception

Accountant/ lawyer will not return my call



Calculate the resistance between 2 adjacent nodes on a shape using graph theory


Graph Theory - How can I calculate the number of vertices and edges, if given this exampleConstruction of regular graphsMaximum number of points at distance exactly one where distance between points is at least 1In graph theory, what is the difference between a “trail” and a “path”?What's the difference between the automorphism and isomorphism of graph?Finding the shortest cycle in a graph using every edgeSpectrum of Line graph of regular graphGraph theory: Relation between complete regularity and distance-transitivityHow many edge deletions make a $4$-regular graph on $7$ vertices planar?Surjective homomorphisms in graph theory.













6












$begingroup$


In shapes like regular octahedron or dodecahedron, how can Graph Theory be used to calculate the resistance between two adjacent vertices? All edges are assumed to have unit resistance. Is there anything above the usual way to approach physics problems about cicuits?



Dodecahedron










share|cite|improve this question











$endgroup$











  • $begingroup$
    Depends on how you define "resistance"...
    $endgroup$
    – 5xum
    Jan 14 '16 at 8:27










  • $begingroup$
    @5xum Now is it okay?
    $endgroup$
    – Aritra Das
    Jan 14 '16 at 8:30










  • $begingroup$
    So are we talking electrical resistance here?
    $endgroup$
    – 5xum
    Jan 14 '16 at 8:33










  • $begingroup$
    @5xum Yes, or resistance distance as stated in this link: en.wikipedia.org/wiki/Resistance_distance
    $endgroup$
    – Aritra Das
    Jan 14 '16 at 8:34











  • $begingroup$
    Are you familiar with the basics like serial and parallel resistance? Is this an exercise with a known nice solution or did you make that up yourself?
    $endgroup$
    – GDumphart
    Jan 14 '16 at 8:42















6












$begingroup$


In shapes like regular octahedron or dodecahedron, how can Graph Theory be used to calculate the resistance between two adjacent vertices? All edges are assumed to have unit resistance. Is there anything above the usual way to approach physics problems about cicuits?



Dodecahedron










share|cite|improve this question











$endgroup$











  • $begingroup$
    Depends on how you define "resistance"...
    $endgroup$
    – 5xum
    Jan 14 '16 at 8:27










  • $begingroup$
    @5xum Now is it okay?
    $endgroup$
    – Aritra Das
    Jan 14 '16 at 8:30










  • $begingroup$
    So are we talking electrical resistance here?
    $endgroup$
    – 5xum
    Jan 14 '16 at 8:33










  • $begingroup$
    @5xum Yes, or resistance distance as stated in this link: en.wikipedia.org/wiki/Resistance_distance
    $endgroup$
    – Aritra Das
    Jan 14 '16 at 8:34











  • $begingroup$
    Are you familiar with the basics like serial and parallel resistance? Is this an exercise with a known nice solution or did you make that up yourself?
    $endgroup$
    – GDumphart
    Jan 14 '16 at 8:42













6












6








6


1



$begingroup$


In shapes like regular octahedron or dodecahedron, how can Graph Theory be used to calculate the resistance between two adjacent vertices? All edges are assumed to have unit resistance. Is there anything above the usual way to approach physics problems about cicuits?



Dodecahedron










share|cite|improve this question











$endgroup$




In shapes like regular octahedron or dodecahedron, how can Graph Theory be used to calculate the resistance between two adjacent vertices? All edges are assumed to have unit resistance. Is there anything above the usual way to approach physics problems about cicuits?



Dodecahedron







graph-theory physics






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 2 days ago









Lord Shark the Unknown

106k1161133




106k1161133










asked Jan 14 '16 at 8:26









Aritra DasAritra Das

2,06231433




2,06231433











  • $begingroup$
    Depends on how you define "resistance"...
    $endgroup$
    – 5xum
    Jan 14 '16 at 8:27










  • $begingroup$
    @5xum Now is it okay?
    $endgroup$
    – Aritra Das
    Jan 14 '16 at 8:30










  • $begingroup$
    So are we talking electrical resistance here?
    $endgroup$
    – 5xum
    Jan 14 '16 at 8:33










  • $begingroup$
    @5xum Yes, or resistance distance as stated in this link: en.wikipedia.org/wiki/Resistance_distance
    $endgroup$
    – Aritra Das
    Jan 14 '16 at 8:34











  • $begingroup$
    Are you familiar with the basics like serial and parallel resistance? Is this an exercise with a known nice solution or did you make that up yourself?
    $endgroup$
    – GDumphart
    Jan 14 '16 at 8:42
















  • $begingroup$
    Depends on how you define "resistance"...
    $endgroup$
    – 5xum
    Jan 14 '16 at 8:27










  • $begingroup$
    @5xum Now is it okay?
    $endgroup$
    – Aritra Das
    Jan 14 '16 at 8:30










  • $begingroup$
    So are we talking electrical resistance here?
    $endgroup$
    – 5xum
    Jan 14 '16 at 8:33










  • $begingroup$
    @5xum Yes, or resistance distance as stated in this link: en.wikipedia.org/wiki/Resistance_distance
    $endgroup$
    – Aritra Das
    Jan 14 '16 at 8:34











  • $begingroup$
    Are you familiar with the basics like serial and parallel resistance? Is this an exercise with a known nice solution or did you make that up yourself?
    $endgroup$
    – GDumphart
    Jan 14 '16 at 8:42















$begingroup$
Depends on how you define "resistance"...
$endgroup$
– 5xum
Jan 14 '16 at 8:27




$begingroup$
Depends on how you define "resistance"...
$endgroup$
– 5xum
Jan 14 '16 at 8:27












$begingroup$
@5xum Now is it okay?
$endgroup$
– Aritra Das
Jan 14 '16 at 8:30




$begingroup$
@5xum Now is it okay?
$endgroup$
– Aritra Das
Jan 14 '16 at 8:30












$begingroup$
So are we talking electrical resistance here?
$endgroup$
– 5xum
Jan 14 '16 at 8:33




$begingroup$
So are we talking electrical resistance here?
$endgroup$
– 5xum
Jan 14 '16 at 8:33












$begingroup$
@5xum Yes, or resistance distance as stated in this link: en.wikipedia.org/wiki/Resistance_distance
$endgroup$
– Aritra Das
Jan 14 '16 at 8:34





$begingroup$
@5xum Yes, or resistance distance as stated in this link: en.wikipedia.org/wiki/Resistance_distance
$endgroup$
– Aritra Das
Jan 14 '16 at 8:34













$begingroup$
Are you familiar with the basics like serial and parallel resistance? Is this an exercise with a known nice solution or did you make that up yourself?
$endgroup$
– GDumphart
Jan 14 '16 at 8:42




$begingroup$
Are you familiar with the basics like serial and parallel resistance? Is this an exercise with a known nice solution or did you make that up yourself?
$endgroup$
– GDumphart
Jan 14 '16 at 8:42










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
);



);













draft saved

draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f1611790%2fcalculate-the-resistance-between-2-adjacent-nodes-on-a-shape-using-graph-theory%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















draft saved

draft discarded
















































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.




draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f1611790%2fcalculate-the-resistance-between-2-adjacent-nodes-on-a-shape-using-graph-theory%23new-answer', 'question_page');

);

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







Popular posts from this blog

How should I support this large drywall patch? Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern) Announcing the arrival of Valued Associate #679: Cesar Manara Unicorn Meta Zoo #1: Why another podcast?How do I cover large gaps in drywall?How do I keep drywall around a patch from crumbling?Can I glue a second layer of drywall?How to patch long strip on drywall?Large drywall patch: how to avoid bulging seams?Drywall Mesh Patch vs. Bulge? To remove or not to remove?How to fix this drywall job?Prep drywall before backsplashWhat's the best way to fix this horrible drywall patch job?Drywall patching using 3M Patch Plus Primer

random experiment with two different functions on unit interval Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Random variable and probability space notionsRandom Walk with EdgesFinding functions where the increase over a random interval is Poisson distributedNumber of days until dayCan an observed event in fact be of zero probability?Unit random processmodels of coins and uniform distributionHow to get the number of successes given $n$ trials , probability $P$ and a random variable $X$Absorbing Markov chain in a computer. Is “almost every” turned into always convergence in computer executions?Stopped random walk is not uniformly integrable

Lowndes Grove History Architecture References Navigation menu32°48′6″N 79°57′58″W / 32.80167°N 79.96611°W / 32.80167; -79.9661132°48′6″N 79°57′58″W / 32.80167°N 79.96611°W / 32.80167; -79.9661178002500"National Register Information System"Historic houses of South Carolina"Lowndes Grove""+32° 48' 6.00", −79° 57' 58.00""Lowndes Grove, Charleston County (260 St. Margaret St., Charleston)""Lowndes Grove"The Charleston ExpositionIt Happened in South Carolina"Lowndes Grove (House), Saint Margaret Street & Sixth Avenue, Charleston, Charleston County, SC(Photographs)"Plantations of the Carolina Low Countrye