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May 1, 2016 at 13:15 comment added David E Speyer Consider the bipyramid: Take two tetrahedra and glue them face to face. The result is a planar graph with five vertices, six triangular faces and, also a $3$-cycle which is not a face.
May 1, 2016 at 2:48 comment added Turbo what do you mean by no 3-cycles which are not faces? Aren't all 3-cycles in a planar graph faces?
Aug 17, 2010 at 1:57 vote accept robert carlson
Aug 17, 2010 at 1:56 vote accept robert carlson
Aug 17, 2010 at 1:57
Aug 17, 2010 at 1:43 vote accept robert carlson
Aug 17, 2010 at 1:56
Aug 17, 2010 at 1:41 vote accept robert carlson
Aug 17, 2010 at 1:43
Aug 16, 2010 at 18:36 history edited David E Speyer CC BY-SA 2.5
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Aug 16, 2010 at 18:08 history answered David E Speyer CC BY-SA 2.5