Why is a connected planar graph isomorphic to its double dual?












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Let $G^*$ be the dual graph of a planar graph $G$ (see wikipedia article). How does one prove that if $G$ is connected then it is isomorphic to $G^{**}$?










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    $begingroup$


    Let $G^*$ be the dual graph of a planar graph $G$ (see wikipedia article). How does one prove that if $G$ is connected then it is isomorphic to $G^{**}$?










    share|cite|improve this question









    $endgroup$















      1












      1








      1





      $begingroup$


      Let $G^*$ be the dual graph of a planar graph $G$ (see wikipedia article). How does one prove that if $G$ is connected then it is isomorphic to $G^{**}$?










      share|cite|improve this question









      $endgroup$




      Let $G^*$ be the dual graph of a planar graph $G$ (see wikipedia article). How does one prove that if $G$ is connected then it is isomorphic to $G^{**}$?







      graph-isomorphism planar-graph






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      asked Jan 18 '14 at 17:41









      mathemagemathemage

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