Is the graceful labeling conjecture still unsolved?












7












$begingroup$


From the Wikipedia article on graceful labeling:



... A major unproven conjecture in graph theory is the Ringel–Kotzig conjecture, named after Gerhard Ringel and Anton Kotzig, which hypothesizes that all trees are graceful. The Ringel-Kotzig conjecture is also known as the "graceful labeling conjecture". ...



Is the conjecture still unsolved?



(for example I found Dhananjay P. Mehendale, "On Gracefully Labeling Trees", which claims that the conjecture is true).










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$endgroup$












  • $begingroup$
    See the latest version at arxiv.org/ftp/math/papers/0503/0503484.pdf you are refering to old version.
    $endgroup$
    – user73830
    Apr 22 '13 at 17:06










  • $begingroup$
    I've already said this somewhere, but you should take any math paper not written in TeX with an additional dose of suspicion.
    $endgroup$
    – tomasz
    Jul 6 '13 at 14:29
















7












$begingroup$


From the Wikipedia article on graceful labeling:



... A major unproven conjecture in graph theory is the Ringel–Kotzig conjecture, named after Gerhard Ringel and Anton Kotzig, which hypothesizes that all trees are graceful. The Ringel-Kotzig conjecture is also known as the "graceful labeling conjecture". ...



Is the conjecture still unsolved?



(for example I found Dhananjay P. Mehendale, "On Gracefully Labeling Trees", which claims that the conjecture is true).










share|cite|improve this question









$endgroup$












  • $begingroup$
    See the latest version at arxiv.org/ftp/math/papers/0503/0503484.pdf you are refering to old version.
    $endgroup$
    – user73830
    Apr 22 '13 at 17:06










  • $begingroup$
    I've already said this somewhere, but you should take any math paper not written in TeX with an additional dose of suspicion.
    $endgroup$
    – tomasz
    Jul 6 '13 at 14:29














7












7








7


1



$begingroup$


From the Wikipedia article on graceful labeling:



... A major unproven conjecture in graph theory is the Ringel–Kotzig conjecture, named after Gerhard Ringel and Anton Kotzig, which hypothesizes that all trees are graceful. The Ringel-Kotzig conjecture is also known as the "graceful labeling conjecture". ...



Is the conjecture still unsolved?



(for example I found Dhananjay P. Mehendale, "On Gracefully Labeling Trees", which claims that the conjecture is true).










share|cite|improve this question









$endgroup$




From the Wikipedia article on graceful labeling:



... A major unproven conjecture in graph theory is the Ringel–Kotzig conjecture, named after Gerhard Ringel and Anton Kotzig, which hypothesizes that all trees are graceful. The Ringel-Kotzig conjecture is also known as the "graceful labeling conjecture". ...



Is the conjecture still unsolved?



(for example I found Dhananjay P. Mehendale, "On Gracefully Labeling Trees", which claims that the conjecture is true).







trees






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share|cite|improve this question











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asked Feb 2 '13 at 13:48









VorVor

355117




355117












  • $begingroup$
    See the latest version at arxiv.org/ftp/math/papers/0503/0503484.pdf you are refering to old version.
    $endgroup$
    – user73830
    Apr 22 '13 at 17:06










  • $begingroup$
    I've already said this somewhere, but you should take any math paper not written in TeX with an additional dose of suspicion.
    $endgroup$
    – tomasz
    Jul 6 '13 at 14:29


















  • $begingroup$
    See the latest version at arxiv.org/ftp/math/papers/0503/0503484.pdf you are refering to old version.
    $endgroup$
    – user73830
    Apr 22 '13 at 17:06










  • $begingroup$
    I've already said this somewhere, but you should take any math paper not written in TeX with an additional dose of suspicion.
    $endgroup$
    – tomasz
    Jul 6 '13 at 14:29
















$begingroup$
See the latest version at arxiv.org/ftp/math/papers/0503/0503484.pdf you are refering to old version.
$endgroup$
– user73830
Apr 22 '13 at 17:06




$begingroup$
See the latest version at arxiv.org/ftp/math/papers/0503/0503484.pdf you are refering to old version.
$endgroup$
– user73830
Apr 22 '13 at 17:06












$begingroup$
I've already said this somewhere, but you should take any math paper not written in TeX with an additional dose of suspicion.
$endgroup$
– tomasz
Jul 6 '13 at 14:29




$begingroup$
I've already said this somewhere, but you should take any math paper not written in TeX with an additional dose of suspicion.
$endgroup$
– tomasz
Jul 6 '13 at 14:29










2 Answers
2






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4












$begingroup$

It's still open. At least if we are to believe this recent (2011) Stanford Thesis, which gives an extensive survey of the problem.



The problem is one of those 'disease' problems to which lots of people come up with bad proofs for. It does however appear to be solved for certain cases of trees.






share|cite|improve this answer











$endgroup$





















    2












    $begingroup$

    You can also find and trace news about best-known kinds of graph labeling, in a dynamic survey by J. A. Gallian. According to it's last version, the conjecture is still unproved.






    share|cite|improve this answer











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      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      4












      $begingroup$

      It's still open. At least if we are to believe this recent (2011) Stanford Thesis, which gives an extensive survey of the problem.



      The problem is one of those 'disease' problems to which lots of people come up with bad proofs for. It does however appear to be solved for certain cases of trees.






      share|cite|improve this answer











      $endgroup$


















        4












        $begingroup$

        It's still open. At least if we are to believe this recent (2011) Stanford Thesis, which gives an extensive survey of the problem.



        The problem is one of those 'disease' problems to which lots of people come up with bad proofs for. It does however appear to be solved for certain cases of trees.






        share|cite|improve this answer











        $endgroup$
















          4












          4








          4





          $begingroup$

          It's still open. At least if we are to believe this recent (2011) Stanford Thesis, which gives an extensive survey of the problem.



          The problem is one of those 'disease' problems to which lots of people come up with bad proofs for. It does however appear to be solved for certain cases of trees.






          share|cite|improve this answer











          $endgroup$



          It's still open. At least if we are to believe this recent (2011) Stanford Thesis, which gives an extensive survey of the problem.



          The problem is one of those 'disease' problems to which lots of people come up with bad proofs for. It does however appear to be solved for certain cases of trees.







          share|cite|improve this answer














          share|cite|improve this answer



          share|cite|improve this answer








          edited Jan 16 at 16:50









          Casteels

          9,98742234




          9,98742234










          answered Feb 11 '14 at 19:00









          Thomas AhleThomas Ahle

          1,5121320




          1,5121320























              2












              $begingroup$

              You can also find and trace news about best-known kinds of graph labeling, in a dynamic survey by J. A. Gallian. According to it's last version, the conjecture is still unproved.






              share|cite|improve this answer











              $endgroup$


















                2












                $begingroup$

                You can also find and trace news about best-known kinds of graph labeling, in a dynamic survey by J. A. Gallian. According to it's last version, the conjecture is still unproved.






                share|cite|improve this answer











                $endgroup$
















                  2












                  2








                  2





                  $begingroup$

                  You can also find and trace news about best-known kinds of graph labeling, in a dynamic survey by J. A. Gallian. According to it's last version, the conjecture is still unproved.






                  share|cite|improve this answer











                  $endgroup$



                  You can also find and trace news about best-known kinds of graph labeling, in a dynamic survey by J. A. Gallian. According to it's last version, the conjecture is still unproved.







                  share|cite|improve this answer














                  share|cite|improve this answer



                  share|cite|improve this answer








                  edited Apr 23 '16 at 12:13

























                  answered Aug 22 '14 at 6:40









                  TougheeToughee

                  284




                  284






























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