Does the Apriori Property of graphs always hold?










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Given a graph database D as a set of small graphs, the Apriori property of support means if a
pattern is frequent in D, then all of its subgraphs are frequent. Consider a graph mining problem
defined over a single graph G, where the support of a pattern P refers to the number of all the
subgraphs in G that are isomorphic to P. Does the Apriori property still holds? If yes, give a proof.
If not, give a counter example.



The questions core is whether the Apriori algorithm works in this case or not. In my opinion I see no reason why I shouldn't work, and despite my research have been unable to find a counter example.



Does the apriori algorithm hold up here? Or is this some exception I am unaware of?



Thank you for reading.










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    I have been working on this question.



    Given a graph database D as a set of small graphs, the Apriori property of support means if a
    pattern is frequent in D, then all of its subgraphs are frequent. Consider a graph mining problem
    defined over a single graph G, where the support of a pattern P refers to the number of all the
    subgraphs in G that are isomorphic to P. Does the Apriori property still holds? If yes, give a proof.
    If not, give a counter example.



    The questions core is whether the Apriori algorithm works in this case or not. In my opinion I see no reason why I shouldn't work, and despite my research have been unable to find a counter example.



    Does the apriori algorithm hold up here? Or is this some exception I am unaware of?



    Thank you for reading.










    share|improve this question


























      0












      0








      0








      I have been working on this question.



      Given a graph database D as a set of small graphs, the Apriori property of support means if a
      pattern is frequent in D, then all of its subgraphs are frequent. Consider a graph mining problem
      defined over a single graph G, where the support of a pattern P refers to the number of all the
      subgraphs in G that are isomorphic to P. Does the Apriori property still holds? If yes, give a proof.
      If not, give a counter example.



      The questions core is whether the Apriori algorithm works in this case or not. In my opinion I see no reason why I shouldn't work, and despite my research have been unable to find a counter example.



      Does the apriori algorithm hold up here? Or is this some exception I am unaware of?



      Thank you for reading.










      share|improve this question
















      I have been working on this question.



      Given a graph database D as a set of small graphs, the Apriori property of support means if a
      pattern is frequent in D, then all of its subgraphs are frequent. Consider a graph mining problem
      defined over a single graph G, where the support of a pattern P refers to the number of all the
      subgraphs in G that are isomorphic to P. Does the Apriori property still holds? If yes, give a proof.
      If not, give a counter example.



      The questions core is whether the Apriori algorithm works in this case or not. In my opinion I see no reason why I shouldn't work, and despite my research have been unable to find a counter example.



      Does the apriori algorithm hold up here? Or is this some exception I am unaware of?



      Thank you for reading.







      algorithm pattern-matching data-mining graph-theory apriori






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Nov 14 '18 at 5:39









      Dominique Fortin

      1,638816




      1,638816










      asked Nov 13 '18 at 4:14









      rifscaperifscape

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