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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

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  • $\begingroup$ 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

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