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).










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












$begingroup$


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






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










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






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











$endgroup$





















    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











    $endgroup$













      Your Answer





      StackExchange.ifUsing("editor", function () {
      return StackExchange.using("mathjaxEditing", function () {
      StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
      StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
      });
      });
      }, "mathjax-editing");

      StackExchange.ready(function() {
      var channelOptions = {
      tags: "".split(" "),
      id: "69"
      };
      initTagRenderer("".split(" "), "".split(" "), channelOptions);

      StackExchange.using("externalEditor", function() {
      // Have to fire editor after snippets, if snippets enabled
      if (StackExchange.settings.snippets.snippetsEnabled) {
      StackExchange.using("snippets", function() {
      createEditor();
      });
      }
      else {
      createEditor();
      }
      });

      function createEditor() {
      StackExchange.prepareEditor({
      heartbeatType: 'answer',
      autoActivateHeartbeat: false,
      convertImagesToLinks: true,
      noModals: true,
      showLowRepImageUploadWarning: true,
      reputationToPostImages: 10,
      bindNavPrevention: true,
      postfix: "",
      imageUploader: {
      brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
      contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
      allowUrls: true
      },
      noCode: true, onDemand: true,
      discardSelector: ".discard-answer"
      ,immediatelyShowMarkdownHelp:true
      });


      }
      });














      draft saved

      draft discarded


















      StackExchange.ready(
      function () {
      StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f292797%2fis-the-graceful-labeling-conjecture-still-unsolved%23new-answer', 'question_page');
      }
      );

      Post as a guest















      Required, but never shown

























      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






























                      draft saved

                      draft discarded




















































                      Thanks for contributing an answer to Mathematics Stack Exchange!


                      • Please be sure to answer the question. Provide details and share your research!

                      But avoid



                      • Asking for help, clarification, or responding to other answers.

                      • Making statements based on opinion; back them up with references or personal experience.


                      Use MathJax to format equations. MathJax reference.


                      To learn more, see our tips on writing great answers.




                      draft saved


                      draft discarded














                      StackExchange.ready(
                      function () {
                      StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f292797%2fis-the-graceful-labeling-conjecture-still-unsolved%23new-answer', 'question_page');
                      }
                      );

                      Post as a guest















                      Required, but never shown





















































                      Required, but never shown














                      Required, but never shown












                      Required, but never shown







                      Required, but never shown

































                      Required, but never shown














                      Required, but never shown












                      Required, but never shown







                      Required, but never shown







                      Popular posts from this blog

                      Mario Kart Wii

                      The Binding of Isaac: Rebirth/Afterbirth

                      What does “Dominus providebit” mean?