Any standard name for this graph?












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Is there any standard name for the three-vertices tournament which is not a directed triangle (equivalently, for the non-triangle orientation of $K_3$)?



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    3












    $begingroup$


    Is there any standard name for the three-vertices tournament which is not a directed triangle (equivalently, for the non-triangle orientation of $K_3$)?



    Thank you!










    share|cite|improve this question









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      3












      3








      3





      $begingroup$


      Is there any standard name for the three-vertices tournament which is not a directed triangle (equivalently, for the non-triangle orientation of $K_3$)?



      Thank you!










      share|cite|improve this question









      $endgroup$




      Is there any standard name for the three-vertices tournament which is not a directed triangle (equivalently, for the non-triangle orientation of $K_3$)?



      Thank you!







      graph-theory terminology directed-graphs






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      asked Dec 29 '18 at 7:36









      W-t-PW-t-P

      1,879612




      1,879612






















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          $begingroup$

          According to http://mathworld.wolfram.com/Tournament.html,
          it was simply called a transitive triple by Harary, which seems sufficient for referring to it. In hindsight, perhaps it can refer to any subset of 3 vertices in a graph with this orientation, so "transitive triplet graph" or such might be better.






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          • $begingroup$
            I guess you can call it the $3$-element (total) order.
            $endgroup$
            – A. Pongrácz
            Dec 29 '18 at 7:51












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          1 Answer
          1






          active

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          oldest

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          active

          oldest

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          2












          $begingroup$

          According to http://mathworld.wolfram.com/Tournament.html,
          it was simply called a transitive triple by Harary, which seems sufficient for referring to it. In hindsight, perhaps it can refer to any subset of 3 vertices in a graph with this orientation, so "transitive triplet graph" or such might be better.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            I guess you can call it the $3$-element (total) order.
            $endgroup$
            – A. Pongrácz
            Dec 29 '18 at 7:51
















          2












          $begingroup$

          According to http://mathworld.wolfram.com/Tournament.html,
          it was simply called a transitive triple by Harary, which seems sufficient for referring to it. In hindsight, perhaps it can refer to any subset of 3 vertices in a graph with this orientation, so "transitive triplet graph" or such might be better.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            I guess you can call it the $3$-element (total) order.
            $endgroup$
            – A. Pongrácz
            Dec 29 '18 at 7:51














          2












          2








          2





          $begingroup$

          According to http://mathworld.wolfram.com/Tournament.html,
          it was simply called a transitive triple by Harary, which seems sufficient for referring to it. In hindsight, perhaps it can refer to any subset of 3 vertices in a graph with this orientation, so "transitive triplet graph" or such might be better.






          share|cite|improve this answer









          $endgroup$



          According to http://mathworld.wolfram.com/Tournament.html,
          it was simply called a transitive triple by Harary, which seems sufficient for referring to it. In hindsight, perhaps it can refer to any subset of 3 vertices in a graph with this orientation, so "transitive triplet graph" or such might be better.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Dec 29 '18 at 7:40









          AravindAravind

          4,5361012




          4,5361012












          • $begingroup$
            I guess you can call it the $3$-element (total) order.
            $endgroup$
            – A. Pongrácz
            Dec 29 '18 at 7:51


















          • $begingroup$
            I guess you can call it the $3$-element (total) order.
            $endgroup$
            – A. Pongrácz
            Dec 29 '18 at 7:51
















          $begingroup$
          I guess you can call it the $3$-element (total) order.
          $endgroup$
          – A. Pongrácz
          Dec 29 '18 at 7:51




          $begingroup$
          I guess you can call it the $3$-element (total) order.
          $endgroup$
          – A. Pongrácz
          Dec 29 '18 at 7:51


















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