Is the graceful labeling conjecture still unsolved?












7












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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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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










3 Answers
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$begingroup$

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











    $endgroup$





















      0












      $begingroup$

      Another paper just came out on it here: https://arxiv.org/abs/1811.07614 I can't read it well enough to say whether it's solved or not though.






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        3 Answers
        3






        active

        oldest

        votes








        3 Answers
        3






        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

            10k42234




            10k42234










            answered Feb 11 '14 at 19:00









            Thomas AhleThomas Ahle

            1,5291323




            1,5291323























                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























                        0












                        $begingroup$

                        Another paper just came out on it here: https://arxiv.org/abs/1811.07614 I can't read it well enough to say whether it's solved or not though.






                        share|cite|improve this answer









                        $endgroup$


















                          0












                          $begingroup$

                          Another paper just came out on it here: https://arxiv.org/abs/1811.07614 I can't read it well enough to say whether it's solved or not though.






                          share|cite|improve this answer









                          $endgroup$
















                            0












                            0








                            0





                            $begingroup$

                            Another paper just came out on it here: https://arxiv.org/abs/1811.07614 I can't read it well enough to say whether it's solved or not though.






                            share|cite|improve this answer









                            $endgroup$



                            Another paper just came out on it here: https://arxiv.org/abs/1811.07614 I can't read it well enough to say whether it's solved or not though.







                            share|cite|improve this answer












                            share|cite|improve this answer



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                            answered Mar 26 at 19:54









                            djhaskin987djhaskin987

                            13916




                            13916






























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